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Lenhart, Suzanne (ed.) et al., Potentials and partial differential equations. The legacy of David R. Adams. Berlin: De Gruyter. Adv. Anal. Geom. 8, 23-48 (2023).

MSC: 30L05 30L10 51F30 53C23

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Rosendal, Christian

Geometries of topological groups. (English) Zbl 1530.46019

Bull. Am. Math. Soc., New Ser. 60, No. 4, 539-568 (2023).

Reviewer: Lydia Außenhofer (Passau)

MSC: 46B80 20F65 22A05 46M15 51F30

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de Souza, Lucas H. R.

Glueing spaces without identifying points. (English) Zbl 07739154

Topology Appl. 338, Article ID 108671, 38 p. (2023).

Reviewer: Daniele Ettore Otera (Vilnius)

MSC: 54D35 54E45 20F65 57M07

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Oregón-Reyes, Eduardo

The space of metric structures on hyperbolic groups. (English) Zbl 1526.20068

J. Lond. Math. Soc., II. Ser. 107, No. 3, 914-942 (2023).

Reviewer: Dimitrios Varsos (Athína)

MSC: 20F67 20F65 51F30

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García-Lirola, Luis C.; Grelier, Guillaume

Lipschitz-free spaces, ultraproducts, and finite representability of metric spaces. (English) Zbl 1527.46005

J. Math. Anal. Appl. 526, No. 2, Article ID 127253, 14 p. (2023).

Reviewer: Michal Doucha (Praha)

MSC: 46B08 46B25 46B07 51F30

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García-Lirola, Luis C.; Petitjean, Colin; Procházka, Antonín

Injectivity of Lipschitz operators. (English) Zbl 1514.46016

Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 68, 31 p. (2023).

Reviewer: Gilles Godefroy (Paris)

MSC: 46B25 51F30 28A78 54E45

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Banakh, Taras; Protasov, Igor

Set-theoretical problems in asymptology. (English) Zbl 07673596

Quest. Answers Gen. Topology 40, No. 2, 67-89 (2022).

MSC: 03E17 03E75 51F30 54D80

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Ostrovskii, Mikhail I.; Randrianantoanina, Beata

On \(L_1\)-embeddability of unions of \(L_1\)-embeddable metric spaces and of twisted unions of hypercubes. (English) Zbl 1508.46014

Anal. Geom. Metr. Spaces 10, 313-329 (2022).

MSC: 46B85 30L05 51F30 68R12

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Martínez-Guzmán, Gerardo; Loranca, María Beatriz Bernabé; Gómez, Mariano Larios; Vanoye, Jorge Ruíz

Approximation in trigonometric Lipschitz spaces. (Spanish. English summary) Zbl 1513.51008

Rev. Mat. Teor. Apl. 29, No. 1, 39-52 (2022).

MSC: 51F30 32F45 41A10 28C10 47L50

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Ostrovska, Sofiya

Distortion in the metric characterization of superreflexivity in terms of the infinite binary tree. (English) Zbl 1498.46025

Math. Inequal. Appl. 25, No. 2, 421-431 (2022).

MSC: 46B85 51F30 46B07

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Kovalev, Leonid V.

Lipschitz clustering in metric spaces. (English) Zbl 1487.51008

J. Geom. Anal. 32, No. 7, Paper No. 188, 18 p. (2022).

MSC: 51F30 30L10 30L15 54B20 54C15

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Banakh, Iryna; Banakh, Taras

On the asymptotic dimension of products of coarse spaces. (English) Zbl 1537.51007

Topology Appl. 311, Article ID 107953, 8 p. (2022).

MSC: 51F30 55M10

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Aliaga, Ramón J.; Gartland, Chris; Petitjean, Colin; Procházka, Antonín

Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions. (English) Zbl 1486.51010

Trans. Am. Math. Soc. 375, No. 5, 3529-3567 (2022).

MSC: 51F30 28A78 30L05 46B20 46B22 54E45

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Manuilov, V.; Zhu, J.

Two versions of the uniform Roe algebras for spaces without bounded geometry. (English) Zbl 1530.46043

Math. Nachr. 294, No. 6, 1140-1147 (2021).

Reviewer: Alessandro Vignati (Paris)

MSC: 46L05 46L89 52C99 54E35 51F30

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Protasov, I. V.

On asymorphisms of finitary coarse spaces. (English) Zbl 1487.54040

Mat. Stud. 56, No. 2, 212-214 (2021).

MSC: 54E05 54E35

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Kazukawa, Daisuke; Yokota, Takumi

Boundedness of precompact sets of metric measure spaces. (English) Zbl 1481.53058

Geom. Dedicata 215, 229-242 (2021).

MSC: 53C23 51F30

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Baudier, F.; Swieçicki, K.; Swift, A.

No dimension reduction for doubling subsets of \(\ell_q\) when \(q>2\) revisited. (English) Zbl 1477.46022

J. Math. Anal. Appl. 504, No. 2, Article ID 125407, 18 p. (2021).

Reviewer: Mikhail Ostrovskii (New York)

MSC: 46B85 30L05 51F30

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Manuilov, V. M.

**Hilbert \(C^*\)-modules related to discrete metric spaces.** (English. Russian original) Zbl 1481.46057

Russ. Math. 65, No. 5, 40-47 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 5, 55-63 (2021).

Reviewer: Mohammad Sal Moslehian (Mashhad)

MSC: 46L08 53C23 51F30

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Protasov, I. V.

Finitary approximations of coarse structures. (English) Zbl 1475.22001

Mat. Stud. 55, No. 1, 33-36 (2021).

Reviewer: Mihail I. Ursul (Oradea)

MSC: 22A05 54E05 54E35

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Robertson, Gavin

The maximal generalised roundness of finite metric spaces. (English) Zbl 1465.51004

Proc. Am. Math. Soc. 149, No. 1, 407-411 (2021).

Reviewer: Mikhail Ostrovskii (New York)

MSC: 51F30 30L05 43A35 46B85

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Lamb, Jeroen S. W.; Rasmussen, Martin; Timperi, Kalle

On Boundaries of \(\varepsilon\)-neighbourhoods of Planar Sets, Part II: Global Structure and Curvature. arXiv:2107.07544

Preprint, arXiv:2107.07544 [math.MG] (2021).

MSC: 51F30 57K20 54C50 51M15 58C06

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Banakh, Taras; Protasov, Igor

Constructing a coarse space with a given Higson or binary corona. (English) Zbl 1459.54016

Topology Appl. 284, Article ID 107366, 20 p. (2020).

Reviewer: Takamitsu Yamauchi (Matsuyama)

MSC: 54D30 54D35 54D40 54F05 54E15 54E35

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Fu, Benyin; Wang, Xianjin; Yu, Guoliang

The equivariant coarse Novikov conjecture and coarse embedding. (English) Zbl 1468.46074

Commun. Math. Phys. 380, No. 1, 245-272 (2020).

Reviewer: Lin Shan (San Juan)

MSC: 46L80 58J22 46B85

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Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander

Rademacher type and Enflo type coincide. (English) Zbl 1458.46012

Ann. Math. (2) 192, No. 2, 665-678 (2020).

Reviewer: Mikhail Ostrovskii (New York)

MSC: 46B09 30L05 46B07 46B85 51F30 60E15

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Lytchak, Alexander; Wenger, Stefan; Young, Robert

Dehn functions and Hölder extensions in asymptotic cones. (English) Zbl 1441.51005

J. Reine Angew. Math. 763, 79-109 (2020).

Reviewer: George Stoica (Saint John)

MSC: 51F30 51H25 53C70 20F65

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Lancien, Gilles; Petitjean, Colin; Procházka, Antonin

On the coarse geometry of James spaces. (English) Zbl 1454.46025

Can. Math. Bull. 63, No. 1, 77-93 (2020).

Reviewer: Florent P. Baudier (College Station)

MSC: 46B85 46B80 46B06 51F30

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Lamb, Jeroen S. W.; Rasmussen, Martin; Timperi, Kalle

On Boundaries of \(\varepsilon\)-neighbourhoods of Planar Sets, Part I: Singularities. arXiv:2012.13515

Preprint, arXiv:2012.13515 [math.MG] (2020).

MSC: 51F30 57K20 54C50 51M15 58C06

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Zava, Nicolò

On a notion of entropy in coarse geometry. (English) Zbl 1484.54019

Topol. Algebra Appl. 7, 48-68 (2019).

MSC: 54C70 20K30 37B40 54A99 54E15 54E99

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Higginbotham, Logan; Weighill, Thomas

Coarse quotients by group actions and the maximal Roe algebra. (English) Zbl 1482.46092

J. Topol. Anal. 11, No. 4, 875-907 (2019).

Reviewer: Botao Long (Shanghai)

MSC: 46L85 51F30

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Protasov, I. V.

Sequential coarse structures of topological groups. (English) Zbl 1421.22002

Mat. Stud. 51, No. 1, 12-18 (2019).

MSC: 22A15 54E35

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Zolotov, Vladimir

Finite flat spaces. (English) Zbl 1439.51009

Mathematika 65, No. 4, 1010-1017 (2019).

Reviewer: Mikhail Ostrovskii (Flushing)

MSC: 51F30 46B85 30L05

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de Mendonça Braga, Bruno; Swift, Andrew Thomas

Coarse embeddings into superstable spaces. (English) Zbl 1429.46017

Isr. J. Math. 232, No. 1, 1-39 (2019).

Reviewer: Mikhail Ostrovskii (Flushing)

MSC: 46B80 46B03 46B85

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Eskenazis, Alexandros; Mendel, Manor; Naor, Assaf

Nonpositive curvature is not coarsely universal. (English) Zbl 1432.51014

Invent. Math. 217, No. 3, 833-886 (2019).

Reviewer: Mikhail Ostrovskii (Flushing)

MSC: 51F30 53C23 30L05 46B07 46B85

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Hartmann, Elisa

A totally bounded uniformity on coarse metric spaces. (English) Zbl 1422.54013

Topology Appl. 263, 350-371 (2019).

Reviewer: Takahisa Miyata (Kobe)

MSC: 54B30 54E35 54E15

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Cheng, Lixin; Fang, Quanqing; Luo, Sijie; Sun, Longfa

On non-surjective coarse isometries between Banach spaces. (English) Zbl 1423.46014

Quaest. Math. 42, No. 3, 347-362 (2019).

MSC: 46B04 46B20 46B85

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Grzegrzolka, Pawel; Siegert, Jeremy

Normality conditions of structures in coarse geometry and an alternative description of coarse proximities. (English) Zbl 1416.54012

Topol. Proc. 53, 285-299 (2019).

Reviewer: Takahisa Miyata (Kobe)

MSC: 54E05 54E15 51F99

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Imamura, Takuma

Nonstandard methods in large-scale topology. (English) Zbl 1415.54033

Topology Appl. 257, 67-84 (2019).

Reviewer: Takahisa Miyata (Kobe)

MSC: 54J05 46A08 53C23

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Protasov, Igor

Varieties of coarse spaces. (English) Zbl 1432.54031

Axioms 7, No. 2, Paper No. 32, 5 p. (2018).

MSC: 54E35 08B99

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Goldfarb, Boris; Grossman, Jonathan L.

Coarse coherence of metric spaces and groups and its permanence properties. (English) Zbl 1434.16005

Bull. Aust. Math. Soc. 98, No. 3, 422-433 (2018).

MSC: 16E65 18G99 54E35 51F99

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Li, Guoqiang; Wang, Xianjin

Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces. (English) Zbl 1410.46014

Isr. J. Math. 227, No. 2, 793-809 (2018).

MSC: 46B85 20F65 43A07

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Baudier, F.; Lancien, G.; Schlumprecht, Th.

The coarse geometry of Tsirelson’s space and applications. (English) Zbl 1396.46020

J. Am. Math. Soc. 31, No. 3, 699-717 (2018).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B80 46B06 05C63 46B85 46B20

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Arzhantseva, Goulnara; Niblo, Graham A.; Wright, Nick; Zhang, Jiawen

A characterization for asymptotic dimension growth. (English) Zbl 1481.20143

Algebr. Geom. Topol. 18, No. 1, 493-524 (2018).

MSC: 20F65 20F67 20F69 51F99

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Delabie, Thiebout

Full box spaces of free groups. (English) Zbl 1388.20059

J. Group Theory 21, No. 1, 107-124 (2018).

Reviewer: Bruno Zimmermann (Trieste)

MSC: 20F65 57M07 20E05 20F05

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Ara, Pere; Li, Kang; Lledó, Fernando; Wu, Jianchao

Amenability and uniform Roe algebras. (English) Zbl 1393.46038

J. Math. Anal. Appl. 459, No. 2, 686-716 (2018).

MSC: 46L05 53C23

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Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S.

Classifying homogeneous cellular ordinal balleans up to coarse equivalence. (English) Zbl 1394.54015

Colloq. Math. 149, No. 2, 211-224 (2017).

Reviewer: Loreno Heer (Zürich)

MSC: 54E35 51F99

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Rubleva, Olga V.

The Ricci curvature of a weighted tree. (English. Russian original) Zbl 1371.53030

Math. Notes 100, No. 4, 597-606 (2016); translation from Mat. Zametki 100, No. 4, 586-596 (2016).

MSC: 53C20 53C23 05C05

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Dydak, J.; Virk, Ž.

Inducing maps between Gromov boundaries. (English) Zbl 1359.53032

Mediterr. J. Math. 13, No. 5, 2733-2752 (2016).

Reviewer: Dimitrios Varsos (Athína)

MSC: 53C23 20F67 20F65 20F69 53C70

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Cornulier, Yves; de la Harpe, Pierre

Metric geometry of locally compact groups. (English) Zbl 1352.22001

EMS Tracts in Mathematics 25. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-166-8/hbk; 978-3-03719-666-3/ebook). viii, 235 p. (2016).

Reviewer: Mohammad Sal Moslehian (Mashhad)

MSC: 22-02 22D05 20F65 54E35 57M07

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Weighill, Thomas

On spaces with connected Higson coronas. (English) Zbl 1375.51008

Topology Appl. 209, 301-315 (2016).

Reviewer: Robert Dawson (Halifax)

MSC: 51F99 18F99

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Cheng, Qingjin

Sphere equivalence, property H, and Banach expanders. (English) Zbl 1355.46022

Stud. Math. 233, No. 1, 67-83 (2016).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 20F65 46B80

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Banakh, Taras; Repovš, Dušan

Classifying homogeneous ultrametric spaces up to coarse equivalence. (English) Zbl 1354.54025

Colloq. Math. 144, No. 2, 189-202 (2016).

Reviewer: Ziga Virk (Litija)

MSC: 54E35 51F99

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Arnt, S.

Fibred coarse embeddability of box spaces and proper isometric affine actions on \(L^p\) spaces. (English) Zbl 1358.20039

Bull. Belg. Math. Soc. - Simon Stevin 23, No. 1, 21-32 (2016).

MSC: 20F65 46B08 46B85 20E26 20F69

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Baudier, Florent P.

Quantitative nonlinear embeddings into Lebesgue sequence spaces. (English) Zbl 1348.46024

J. Topol. Anal. 8, No. 1, 117-150 (2016).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B80 20F65 30L05 46B85

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Naor, Assaf

Uniform nonextendability from nets. (Impossibilité d’extension uniforme depuis les réseaux.) (English. French summary) Zbl 1344.46017

C. R., Math., Acad. Sci. Paris 353, No. 11, 991-994 (2015).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B80 46B85

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Basyrov, Alexander; Horak, Matthew

A coarsely invariant notion of roundness. (English) Zbl 1329.54031

Int. Electron. J. Geom. 8, No. 2, 154-167 (2015).

Reviewer: Ziga Virk (Litija)

MSC: 54E40 46B20 46C05

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Zhang, Sheng

Coarse quotient mappings between metric spaces. (English) Zbl 1348.46026

Isr. J. Math. 207, Part 2, 961-979 (2015).

Reviewer: Florent P. Baudier (College Station)

MSC: 46B80 30L05 46B85

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Backlinks: MO

Kraus, Michal

On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space. (English) Zbl 1337.46019

Proc. Am. Math. Soc. 143, No. 11, 4835-4844 (2015).

MSC: 46B85

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Cave, Chris; Dreesen, Dennis

Embeddability of generalised wreath products. (English) Zbl 1345.54021

Bull. Aust. Math. Soc. 91, No. 2, 250-263 (2015).

Reviewer: Vladimir M. Manuilov (Moskva)

MSC: 54E35 20E22 46B85

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Albiac, F.; Baudier, F.

Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces \(L_p\) and \(\ell_p\) for \(0<p<\infty\). (English) Zbl 1319.46016

J. Geom. Anal. 25, No. 1, 1-24 (2015).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 46B80 30L05 46A16

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Kokubo, Eiki; Kuwae, Kazuhiro

On spectral bounds for symmetric Markov chains with coarse Ricci curvature. (English) Zbl 1389.53062

Rev. Roum. Math. Pures Appl. 59, No. 1, 123-155 (2014).

MSC: 53C20 53C21 53C23

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Ren, Qinggang

Coarse embedding into uniformly convex Banach spaces. (English) Zbl 1319.46018

Chin. Ann. Math., Ser. B 35, No. 5, 733-742 (2014).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 20F65 20F67

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Shan, Lin

A class of metric spaces which do not coarsely contain expanders. (English) Zbl 1313.46031

Commun. Math. Res. 30, No. 3, 284-288 (2014).

MSC: 46B85

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Godefroy, G.; Lancien, G.; Zizler, V.

The non-linear geometry of Banach spaces after Nigel Kalton. (English) Zbl 1317.46016

Rocky Mt. J. Math. 44, No. 5, 1529-1583 (2014).

Reviewer: Dirk Werner (Berlin)

MSC: 46B80 46B85 46B06 46-02

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Khukhro, A.

Embeddable box spaces of free groups. (English) Zbl 1337.46018

Math. Ann. 360, No. 1-2, 53-66 (2014).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 20F65 20F69

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Mendel, Manor; Naor, Assaf

Nonlinear spectral calculus and super-expanders. (English) Zbl 1306.46021

Publ. Math., Inst. Hautes Étud. Sci. 119, 1-95 (2014).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 05C50 30L05 46B07 46B09

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Brodzki, Jacek; Niblo, Graham A.; Špakula, Ján; Willett, Rufus; Wright, Nick

Uniform local amenability. (English) Zbl 1281.46023

J. Noncommut. Geom. 7, No. 2, 583-603 (2013).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 30L05 43A07

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Ostrovskii, M. I.

Embeddability of locally finite metric spaces into Banach spaces is finitely determined. (English) Zbl 1276.46013

Proc. Am. Math. Soc. 140, No. 8, 2721-2730 (2012).

MSC: 46B85 05C12 46B08 54E35

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Khukhro, A.

Box spaces, group extensions and coarse embeddings into Hilbert space. (English) Zbl 1250.46017

J. Funct. Anal. 263, No. 1, 115-128 (2012).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 20F65 20F69

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Ozawa, Narutaka

Metric spaces with subexponential asymptotic dimension growth. (English) Zbl 1238.54015

Int. J. Algebra Comput. 22, No. 2, Article ID 1250011, 3 p. (2012).

MSC: 54F45 20F69 51F99

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Kelleher, Casey; Miller, Daniel; Osborn, Trenton; Weston, Anthony

Strongly non-embeddable metric spaces. (English) Zbl 1242.46028

Topology Appl. 159, No. 3, 749-755 (2012).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 46C05 46T99 54E35

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Wang, Xianjin

Remarks on the operator norm localization property. (English) Zbl 1306.46067

Chin. Ann. Math., Ser. B 32, No. 4, 593-604 (2011).

MSC: 46L89 54E35 20F65

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Eskin, Alex; Fisher, David

Quasi-isometric rigidity of solvable groups. (English) Zbl 1228.22008

Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1185-1208 (2011).

Reviewer: Bala Sury (Bangalore)

MSC: 22E25 20F65 22E40

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Willett, Rufus

Property A and graphs with large girth. (English) Zbl 1279.53041

J. Topol. Anal. 3, No. 3, 377-384 (2011).

MSC: 53C23 05C12

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Álvarez López, Jesús A.; Candel, Alberto

Algebraic characterization of quasi-isometric spaces via the Higson compactification. (English) Zbl 1220.53058

Topology Appl. 158, No. 13, 1679-1694 (2011).

Reviewer: Thilo Kuessner (Münster)

MSC: 53C23 54E40

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Martínez-Pérez, Álvaro

Zig-zag chains and metric equivalences between ultrametric spaces. (English) Zbl 1229.54038

Topology Appl. 158, No. 13, 1595-1606 (2011).

Reviewer: Ziga Virk (Litija)

MSC: 54E35 18B30 37F20

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Giladi, Ohad; Mendel, Manor; Naor, Assaf

Improved bounds in the metric cotype inequality for Banach spaces. (English) Zbl 1218.46012

J. Funct. Anal. 260, No. 1, 164-194 (2011).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 46B07 46B80

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Jicheng, Tao

Coarse embeddings and functions conditionally of negative type of topological groups. (English) Zbl 1223.46021

Adv. Appl. Math. Sci. 2, No. 2, 231-236 (2010).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 46C05

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Huang, Zhaobo

The infinite dimensional hyperbolic space \(\mathbb H^{\infty }\) does not have property A. (English) Zbl 1248.46019

Chin. Ann. Math., Ser. B 31, No. 4, 491-496 (2010).

MSC: 46B85 54E40

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Martínez-Pérez, Álvaro; Morón, Manuel A.

Inverse sequences, rooted trees and their end spaces. (English) Zbl 1222.54013

Topology Appl. 157, No. 16, 2480-2494 (2010).

Reviewer: Corina Mohorianu (Iaşi)

MSC: 54B30 54E35 53C99 51K05 54C56 55P55

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Zarichnyi, M.

Coarse structures and fuzzy metrics. (English) Zbl 1224.54023

Mat. Stud. 32, No. 2, 180-184 (2009).

MSC: 54A40 54E35 54E15

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Hu, Yingjie; Wang, Qin

Ideals in the Roe algebras of discrete metric spaces with coefficients in \(\mathcal B(H)\). (English) Zbl 1200.47088

Chin. Ann. Math., Ser. B 30, No. 2, 139-144 (2009).

Reviewer: Mixalis Anoussis (Samos)

MSC: 47L80 46L87 47L20 54E35

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Chen, Xiaoman; Wang, Qin; Wang, Xianjin

Operator norm localization property of metric spaces under finite decomposition complexity. (English) Zbl 1185.46011

J. Funct. Anal. 257, No. 9, 2938-2950 (2009).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 20F65 46L80 57R19

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Tessera, Romain

Coarse embeddings into a Hilbert space, Haagerup property and Poincaré inequalities. (English) Zbl 1178.46018

J. Topol. Anal. 1, No. 1, 87-100 (2009).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 54E35

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Ostrovskii, M. I.

Coarse embeddability into Banach spaces. (English) Zbl 1179.54042

Topol. Proc. 33, 163-183 (2009).

Reviewer: Jiling Cao (Auckland)

MSC: 54E40 46B20 05C12

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Cuchillo-Ibáñez, E.; Dydak, J.; Koyama, A.; Morón, M. A.

\(C_{0}\)-coarse geometry of complements of Z-sets in the Hilbert cube. (English) Zbl 1160.54016

Trans. Am. Math. Soc. 360, No. 10, 5229-5246 (2008).

Reviewer: Corina Mohorianu (Iaşi)

MSC: 54D35 18B30 54E15 54C55 54E35 54F45

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Naor, Assaf; Peres, Yuval

Embeddings of discrete groups and the speed of random walks. (English) Zbl 1163.46007

Int. Math. Res. Not. 2008, Article ID rnn076, 34 p. (2008).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B07 05C12 20F65 54E35 60G50

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Pestov, Vladimir G.

A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. (English) Zbl 1152.46062

Topology Appl. 155, No. 14, 1561-1575 (2008).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46T99 54E35 05C12 51F99

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Bell, G.; Dranishnikov, A.

Asymptotic dimension. (English) Zbl 1149.54017

Topology Appl. 155, No. 12, 1265-1296 (2008).

Reviewer: Leonard R. Rubin (Norman)

MSC: 54F45 55M10 20F69

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Gal, Światosław R.

Asymptotic dimension and uniform embeddings. (English) Zbl 1192.20028

Groups Geom. Dyn. 2, No. 1, 63-84 (2008).

MSC: 20F69 20F65 54F45 53C23

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Rosenberg, Jonathan

Manifolds of positive scalar curvature: a progress report. (English) Zbl 1171.53028

Cheeger, Jeffrey (ed.) et al., Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Somerville, MA: International Press (ISBN 978-1-57146-117-9/hbk). Surveys in Differential Geometry 11, 259-294 (2007).

Reviewer: Mircea Craioveanu (Timişoara)

MSC: 53C20 57R15 57R57 57R60 53C21

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Ostrovskii, M. I.

Coarse embeddings of locally finite metric spaces into Banach spaces without cotype. (English) Zbl 1138.46011

C. R. Acad. Bulg. Sci. 59, No. 11, 1113-1116 (2006).

Reviewer: Angela Slavova (Sofia)

MSC: 46B20 46A99 46T99

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Li, Jinxiu; Wang, Qin

Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces. (English) Zbl 1106.46015

J. Math. Anal. Appl. 320, No. 2, 892-901 (2006).

Reviewer: David Yost (Ballarat)

MSC: 46B99 46T99 54E40

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Sawicki, Marcin

Absolute extensors and absolute neighborhood extensors in asymptotic categories. (English) Zbl 1073.53058

Topology Appl. 150, No. 1-3, 59-78 (2005).

MSC: 53C23 20F69

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Roe, John

Lectures on coarse geometry. (English) Zbl 1042.53027

University Lecture Series 31. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3332-4/pbk). vii, 175 p. (2003).

Reviewer: Athanase Papadopoulos (Strasbourg)

MSC: 53C23 53C24 20F65 53-02 46L85 54E15 51K05

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Backlinks: MO

Found 104 Documents (Results 1–100)

Introduction. (English) Zbl 07918548

A combinatorial higher-rank hyperbolicity condition. (English) Zbl 07891428

Lipschitz images and dimensions. (English) Zbl 07842514

Metric enrichment, finite generation, and the path coreflection. (English) Zbl 07830506

A topological product decomposition of Busemann space. (English) Zbl 1540.51003

An invitation to coarse groups. (English) Zbl 1531.20002

On Carrasco Piaggio’s theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces. (English) Zbl 1526.30071

Geometries of topological groups. (English) Zbl 1530.46019

Glueing spaces without identifying points. (English) Zbl 07739154

The space of metric structures on hyperbolic groups. (English) Zbl 1526.20068

Lipschitz-free spaces, ultraproducts, and finite representability of metric spaces. (English) Zbl 1527.46005

Injectivity of Lipschitz operators. (English) Zbl 1514.46016

Set-theoretical problems in asymptology. (English) Zbl 07673596

On \(L_1\)-embeddability of unions of \(L_1\)-embeddable metric spaces and of twisted unions of hypercubes. (English) Zbl 1508.46014

Approximation in trigonometric Lipschitz spaces. (Spanish. English summary) Zbl 1513.51008

Distortion in the metric characterization of superreflexivity in terms of the infinite binary tree. (English) Zbl 1498.46025

Lipschitz clustering in metric spaces. (English) Zbl 1487.51008

On the asymptotic dimension of products of coarse spaces. (English) Zbl 1537.51007

Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions. (English) Zbl 1486.51010

Two versions of the uniform Roe algebras for spaces without bounded geometry. (English) Zbl 1530.46043

On asymorphisms of finitary coarse spaces. (English) Zbl 1487.54040

Boundedness of precompact sets of metric measure spaces. (English) Zbl 1481.53058

No dimension reduction for doubling subsets of \(\ell_q\) when \(q>2\) revisited. (English) Zbl 1477.46022

Hilbert \(C^*\)-modules related to discrete metric spaces. (English. Russian original) Zbl 1481.46057

Finitary approximations of coarse structures. (English) Zbl 1475.22001

The maximal generalised roundness of finite metric spaces. (English) Zbl 1465.51004

On Boundaries of \(\varepsilon\)-neighbourhoods of Planar Sets, Part II: Global Structure and Curvature. arXiv:2107.07544

Constructing a coarse space with a given Higson or binary corona. (English) Zbl 1459.54016

The equivariant coarse Novikov conjecture and coarse embedding. (English) Zbl 1468.46074

Rademacher type and Enflo type coincide. (English) Zbl 1458.46012

Dehn functions and Hölder extensions in asymptotic cones. (English) Zbl 1441.51005

On the coarse geometry of James spaces. (English) Zbl 1454.46025

On Boundaries of \(\varepsilon\)-neighbourhoods of Planar Sets, Part I: Singularities. arXiv:2012.13515

On a notion of entropy in coarse geometry. (English) Zbl 1484.54019

Coarse quotients by group actions and the maximal Roe algebra. (English) Zbl 1482.46092

Sequential coarse structures of topological groups. (English) Zbl 1421.22002

Finite flat spaces. (English) Zbl 1439.51009

Coarse embeddings into superstable spaces. (English) Zbl 1429.46017

Nonpositive curvature is not coarsely universal. (English) Zbl 1432.51014

A totally bounded uniformity on coarse metric spaces. (English) Zbl 1422.54013

On non-surjective coarse isometries between Banach spaces. (English) Zbl 1423.46014

Normality conditions of structures in coarse geometry and an alternative description of coarse proximities. (English) Zbl 1416.54012

Nonstandard methods in large-scale topology. (English) Zbl 1415.54033

Varieties of coarse spaces. (English) Zbl 1432.54031

Coarse coherence of metric spaces and groups and its permanence properties. (English) Zbl 1434.16005

Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces. (English) Zbl 1410.46014

The coarse geometry of Tsirelson’s space and applications. (English) Zbl 1396.46020

A characterization for asymptotic dimension growth. (English) Zbl 1481.20143

Full box spaces of free groups. (English) Zbl 1388.20059

Amenability and uniform Roe algebras. (English) Zbl 1393.46038

Classifying homogeneous cellular ordinal balleans up to coarse equivalence. (English) Zbl 1394.54015

The Ricci curvature of a weighted tree. (English. Russian original) Zbl 1371.53030

Inducing maps between Gromov boundaries. (English) Zbl 1359.53032

Metric geometry of locally compact groups. (English) Zbl 1352.22001

On spaces with connected Higson coronas. (English) Zbl 1375.51008

Sphere equivalence, property H, and Banach expanders. (English) Zbl 1355.46022

Classifying homogeneous ultrametric spaces up to coarse equivalence. (English) Zbl 1354.54025

Fibred coarse embeddability of box spaces and proper isometric affine actions on \(L^p\) spaces. (English) Zbl 1358.20039

Quantitative nonlinear embeddings into Lebesgue sequence spaces. (English) Zbl 1348.46024

Uniform nonextendability from nets. (Impossibilité d’extension uniforme depuis les réseaux.) (English. French summary) Zbl 1344.46017

A coarsely invariant notion of roundness. (English) Zbl 1329.54031

Coarse quotient mappings between metric spaces. (English) Zbl 1348.46026

On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space. (English) Zbl 1337.46019

Embeddability of generalised wreath products. (English) Zbl 1345.54021

Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces \(L_p\) and \(\ell_p\) for \(0<p<\infty\). (English) Zbl 1319.46016

On spectral bounds for symmetric Markov chains with coarse Ricci curvature. (English) Zbl 1389.53062

Coarse embedding into uniformly convex Banach spaces. (English) Zbl 1319.46018

A class of metric spaces which do not coarsely contain expanders. (English) Zbl 1313.46031

The non-linear geometry of Banach spaces after Nigel Kalton. (English) Zbl 1317.46016

Embeddable box spaces of free groups. (English) Zbl 1337.46018

Nonlinear spectral calculus and super-expanders. (English) Zbl 1306.46021

Uniform local amenability. (English) Zbl 1281.46023

Embeddability of locally finite metric spaces into Banach spaces is finitely determined. (English) Zbl 1276.46013

Box spaces, group extensions and coarse embeddings into Hilbert space. (English) Zbl 1250.46017

**Hilbert \(C^*\)-modules related to discrete metric spaces.** (English. Russian original) Zbl 1481.46057