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Aoki, Toshitaka; Escolar, Emerson G.; Tada, Shunsuke

On interval global dimension of posets: a characterization of case 0. (English) Zbl 07869704

Proceedings of the 55th symposium on ring theory and representation theory, Osaka Metropolitan University, Osaka, Japan, September 6–9, 2021. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 4-10 (2024).

MSC: 16G20 55N31 18G25 16E05

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Chachólski, Wojciech; Giunti, Barbara; Jin, Alvin; Landi, Claudia

Decomposing filtered chain complexes: geometry behind barcoding algorithms. (English) Zbl 1509.55002

Comput. Geom. 109, Article ID 101938, 14 p. (2023).

Reviewer: Beatrice Bleile (Armidale)

MSC: 55N31 55U15

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Asashiba, Hideto; Buchet, Mickaël; Escolar, Emerson G.; Nakashima, Ken; Yoshiwaki, Michio

On interval decomposability of \(2\)D persistence modules. (English) Zbl 1502.55004

Comput. Geom. 105-106, Article ID 101879, 33 p. (2022).

Reviewer: My Ismail Mamouni (Rabat)

MSC: 55N31 68U03

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Boulier, Simon; Tabareau, Nicolas

Model structure on the universe of all types in interval type theory. (English) Zbl 1529.03124

Math. Struct. Comput. Sci. 31, No. 4, 392-423 (2021).

MSC: 03B38 55U35 18N45

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Brown, Robert F.

A good question won’t go away: an example of mathematical research. (English) Zbl 1455.54002

Am. Math. Mon. 128, No. 1, 62-68 (2021).

MSC: 54-03 01A60 54-02 54H25 55M20

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Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel

Lie models in topology. (English) Zbl 1469.55001

Progress in Mathematics 335. Cham: Birkhäuser (ISBN 978-3-030-54429-4/hbk; 978-3-030-54432-4/pbk; 978-3-030-54430-0/ebook). ix, 299 p. (2020).

Reviewer: Samuel Smith (Philadelphia)

MSC: 55-02 55P62

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Wu, Z.

A fixed point theorem, intermediate value theorem, and nested interval property. (English) Zbl 1449.55001

Anal. Math. 45, No. 2, 443-447 (2019).

MSC: 55M20 26A15 37C25

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Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin

A comparison framework for interleaved persistence modules. (English) Zbl 1443.55001

J. Appl. Comput. Topol. 3, No. 1-2, 85-118 (2019).

Reviewer: My Ismail Mamouni (Témara)

MSC: 55N31 55U10 65G99

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Goubault, Éric; Mimram, Samuel; Tasson, Christine

Geometric and combinatorial views on asynchronous computability. (English) Zbl 1451.68046

Distrib. Comput. 31, No. 4, 289-316 (2018).

MSC: 68M14 55U10 68M12 68M15 68Q55

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Gálvez-Carrillo, Imma; Kock, Joachim; Tonks, Andrew

Decomposition spaces, incidence algebras and Möbius inversion. III: The decomposition space of Möbius intervals. (English) Zbl 1403.18017

Adv. Math. 334, 544-584 (2018).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18N50 16T10 06A11 16T05 55U35

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Kawamura, Kazuhiro; Kennedy, Judy

Shift maps and their variants on inverse limits with set-valued functions. (English) Zbl 1386.54011

Topology Appl. 239, 92-114 (2018).

Reviewer: Thomas B. Ward (Leeds)

MSC: 54C60 54F15 55M99 55N05 37E05 37E10 37B10 37B45

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Botnan, Magnus Bakke

Interval decomposition of infinite zigzag persistence modules. (English) Zbl 1387.55011

Proc. Am. Math. Soc. 145, No. 8, 3571-3577 (2017).

Reviewer: Jan Spaliński (Warsaw)

MSC: 55N99 16G20

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Penrod, Keith

Big fundamental groups: generalizing homotopy and big homotopy. (English) Zbl 1337.55011

Topology Appl. 204, 15-22 (2016).

Reviewer: Ziga Virk (Litija)

MSC: 55Q05 06A05

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Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel

The Deligne groupoid of the Lawrence-Sullivan interval. (English) Zbl 1347.55011

Topology Appl. 204, 1-7 (2016).

Reviewer: Jose Calcines (La Laguna)

MSC: 55P62

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Batanin, Michael; Markl, Martin

Crossed interval groups and operations on the Hochschild cohomology. (English) Zbl 1303.18017

J. Noncommut. Geom. 8, No. 3, 655-693 (2014).

Reviewer: Sinan Yalin (Luxembourg)

MSC: 18D50 55U10 55S05

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Blumberg, Andrew J.; Gal, Itamar; Mandell, Michael A.; Pancia, Matthew

Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces. (English) Zbl 1364.55016

Found. Comput. Math. 14, No. 4, 745-789 (2014).

MSC: 55U10 68U05

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Mrozek, Marian

Topological dynamics: rigorous numerics via cubical homology. (English) Zbl 1269.37019

Zomorodian, Afra (ed.), Advances in applied and computational topology. AMS short course on computational topology, New Orleans, LA, USA, January 4–5, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5327-6/hbk). Proceedings of Symposia in Applied Mathematics 70, 41-73 (2012).

Reviewer: Roman Srzednicki (Kraków)

MSC: 37D45 34C28 34C45 37B30 37M99 52B99 55-04 55N35

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Bendich, Paul; Edelsbrunner, Herbert; Kerber, Michael; Patel, Amit

Persistent homology under non-uniform error. (English) Zbl 1287.65039

Hliněný, Petr (ed.) et al., Mathematical foundations of computer science 2010. 35th international symposium, MFCS 2010, Brno, Czech Republic, August 23–27, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15154-5/pbk). Lecture Notes in Computer Science 6281, 12-23 (2010).

MSC: 65G99 55N99

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Delanoue, Nicolas; Jaulin, Luc; Cottenceau, Bertrand

Guaranteeing the homotopy type of a set defined by non-linear inequalities. (English) Zbl 1126.65040

Reliab. Comput. 13, No. 5, 381-398 (2007).

MSC: 65G40 55N05

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Kearfott, R. Baker; Dian, Jianwei; Neumaier, A.

Existence verification for singular zeros of complex nonlinear systems. (English) Zbl 0986.65054

SIAM J. Numer. Anal. 38, No. 2, 360-379 (2000).

Reviewer: Herbert Fischer (München)

MSC: 65H10 30C15 65E05 55M25

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Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał

Low-dimensional combinatorial dynamics. (English) Zbl 1089.37520

Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 9, 1687-1704 (1999).

MSC: 37E15 37B99 37C25 37E05 37E35 55M20 57M60

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Székely, László A.

Brouwer’s fixed point theorem implies Gallai’s theorem. (English) Zbl 0922.05042

Acta Sci. Math. 60, No. 3-4, 681-684 (1995).

MSC: 05C70 55M20

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Aberth, Oliver

Computation of topological degree using interval arithmetic, and applications. (English) Zbl 0798.55002

Math. Comput. 62, No. 205, 171-178 (1994).

Reviewer: H.Schlagbauer (Windhoek)

MSC: 55M25 65H10

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Bödigheimer, C.-F.

Interval exchange spaces and moduli spaces. (English) Zbl 0869.57011

Bödigheimer, Carl-Friedrich (ed.) et al., Mapping class groups and moduli spaces of Riemann surfaces. Proceedings of workshops held June 24-28, 1991, in Göttingen, Germany, and August 6-10, 1991, in Seattle, WA (USA). Providence, RI: American Mathematical Society. Contemp. Math. 150, 33-50 (1993).

MSC: 57N05 28D05 28Dxx 30Fxx 30F60 55R35 28D15 55Rxx 55Sxx 55S12

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Gong, Huaiyun

On Brouwer’s degree theorem in an open interval of \({\mathbb{R}}\). (Chinese) Zbl 0582.55003

J. Xi’an Jiaotong Univ. 18, No. 4, 123-126 (1984).

Reviewer: Luqun Ni

MSC: 55M25

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Abe, Kojun

On the homotopy types of the groups of equivariant diffeomorphisms. (English) Zbl 0453.58013

Publ. Res. Inst. Math. Sci. 16, 601-626 (1980).

MSC: 58D05 57S15 55R50 55P10

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Found 26 Documents (Results 1–26)

On interval global dimension of posets: a characterization of case 0. (English) Zbl 07869704

Decomposing filtered chain complexes: geometry behind barcoding algorithms. (English) Zbl 1509.55002

On interval decomposability of \(2\)D persistence modules. (English) Zbl 1502.55004

Model structure on the universe of all types in interval type theory. (English) Zbl 1529.03124

A good question won’t go away: an example of mathematical research. (English) Zbl 1455.54002

Lie models in topology. (English) Zbl 1469.55001

A fixed point theorem, intermediate value theorem, and nested interval property. (English) Zbl 1449.55001

A comparison framework for interleaved persistence modules. (English) Zbl 1443.55001

Geometric and combinatorial views on asynchronous computability. (English) Zbl 1451.68046

Decomposition spaces, incidence algebras and Möbius inversion. III: The decomposition space of Möbius intervals. (English) Zbl 1403.18017

Shift maps and their variants on inverse limits with set-valued functions. (English) Zbl 1386.54011

Interval decomposition of infinite zigzag persistence modules. (English) Zbl 1387.55011

Big fundamental groups: generalizing homotopy and big homotopy. (English) Zbl 1337.55011

The Deligne groupoid of the Lawrence-Sullivan interval. (English) Zbl 1347.55011

Crossed interval groups and operations on the Hochschild cohomology. (English) Zbl 1303.18017

Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces. (English) Zbl 1364.55016

Topological dynamics: rigorous numerics via cubical homology. (English) Zbl 1269.37019

Persistent homology under non-uniform error. (English) Zbl 1287.65039

Guaranteeing the homotopy type of a set defined by non-linear inequalities. (English) Zbl 1126.65040

Existence verification for singular zeros of complex nonlinear systems. (English) Zbl 0986.65054

Low-dimensional combinatorial dynamics. (English) Zbl 1089.37520

Brouwer’s fixed point theorem implies Gallai’s theorem. (English) Zbl 0922.05042

Computation of topological degree using interval arithmetic, and applications. (English) Zbl 0798.55002

Interval exchange spaces and moduli spaces. (English) Zbl 0869.57011

On Brouwer’s degree theorem in an open interval of \({\mathbb{R}}\). (Chinese) Zbl 0582.55003

On the homotopy types of the groups of equivariant diffeomorphisms. (English) Zbl 0453.58013

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