Found 118 Documents (Results 1–100)
Higher coverings of racks and quandles. I. (English) Zbl 1540.18008
Reviewer: Hirokazu Nishimura (Tsukuba)
Synthetic fibered \((\infty,1)\)-category theory. (English) Zbl 1535.18039
Reviewer: Raffael Stenzel (Bonn)
Dynamic asymptotic dimension and Matui’s HK conjecture. (English) Zbl 1542.46056
Reviewer: Alexander Engel (Greifswald)
On symmetries of singular foliations. (English) Zbl 1522.53073
Reviewer: Liviu Popescu (Craiova)
\(G\)-category versus orbifold category. (English) Zbl 1520.55005
Reviewer: Daniel Tanré (Villeneuve d’Ascq)
Double groupoids and Postnikov invariants. (English) Zbl 1512.18004
Reviewer: Geoffrey Powell (Angers)
Cyclic theory and the pericyclic category. (English) Zbl 1509.55013
Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 103-122 (2023).
Multiplicative equivariant \(K\)-theory and the Barratt-Priddy-Quillen theorem. (English) Zbl 1535.19001
Topological fundamental groupoid. I. arXiv:2302.01583
Preprint, arXiv:2302.01583 [math.AT] (2023).
The \(\mathbb{R}\)-local homotopy theory of smooth spaces. (English) Zbl 1518.55019
Reviewer: Katsuhiko Kuribayashi (Nagano)
Brackets by any other name. (English) Zbl 1494.16001
Homotopy type theory: the logic of space. (English) Zbl 1479.18002
Anel, Mathieu (ed.) et al., New spaces in mathematics. Formal and conceptual reflections. Cambridge: Cambridge University Press. 322-403 (2021).
Reviewer: Matteo Capucci (Glasgow)
The \(L_\infty \)-algebra of a symplectic manifold. (English) Zbl 1486.53089
Reviewer: João Nuno Mestre (Coimbra)
Derived algebraic geometry. (English) Zbl 1471.14005
Panoramas et Synthèses 55. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-938-8/pbk). xvi, 230 p. (2021).
MSC:
14-06
18-01
18-06
14A30
13D03
13D10
14C40
14D23
14F08
14A20
14B10
14D15
14D20
14N35
17B63
18M50
18G80
53D17
55U40
00B15
18N10
Homotopies of crossed modules of \(R\)-algebroids. (English) Zbl 1477.18017
Reviewer: Philippe Malbos (Lyon)
Globular weak \((n,\infty)\)-Transformations (\(n\in\mathbb{N}\)) in the sense of Grothendieck. arXiv:2106.11458
Preprint, arXiv:2106.11458 [math.CT] (2021).
Coherence for monoidal groupoids in HoTT. (English) Zbl 1535.55026
Bezem, Marc (ed.) et al., 25th international conference on types for proofs and programs. TYPES 2019, June 11–14, 2019, Oslo, Norway. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 175, Article 8, 20 p. (2020).
On the de Rham cohomology of locally trivial Lie groupoids over triangulated manifolds. (English) Zbl 1471.58023
Crossed squares, crossed modules over groupoids and \(\mathrm{cat}^{\mathbf{1-2}}\)-groupoids. (English) Zbl 1448.18009
On the homotopy theory for Lie \(\infty\)-groupoids, with an application to integrating \(L_\infty\)-algebras. (English) Zbl 1487.18021
Classifying spaces of infinity-sheaves. arXiv:1912.10544
Preprint, arXiv:1912.10544 [math.AT] (2019).
MSC:
55N30
57R19
55N20
18G60
22A22
18F10
18F20
14D23
14A20
58D27
58D29
14D22
55R35
55U35
18G55
14F42
55R65
Derived crossed modules. (English) Zbl 1431.55019
Reviewer: Serap Demir (Kayseri)
Lifting a weak Poisson bracket to the algebra of forms. (English) Zbl 1373.53114
Reviewer: Cristian Lăzureanu (Timisoara)
Notes on Multiple Higher Category Theory. arXiv:1702.05206
Preprint, arXiv:1702.05206 [math.CT] (2017).
Aspects of Cubical Higher Category Theory. arXiv:1702.00336
Preprint, arXiv:1702.00336 [math.KT] (2017).
Equivariant ordinary homology and cohomology. (English) Zbl 1362.55001
Lecture Notes in Mathematics 2178. Cham: Springer (ISBN 978-3-319-50447-6/pbk; 978-3-319-50448-3/ebook). xiv, 294 p. (2016).
Reviewer: Haruo Minami (Nara)
Steps toward the weak higher category of weak higher categories in the globular setting. (English) Zbl 1355.18007
Reviewer: Jérôme Scherer (Lausanne)
(Re)constructing Lie groupoids from their bisections and applications to prequantisation. (English) Zbl 1358.58011
Reviewer: Marta Macho Stadler (Leioa)
On the homotopy type of higher orbifolds and Haefliger classifying spaces. (English) Zbl 1339.55007
Reviewer: Jonathan Hodgson (Swarthmore)
Abstract representation theory of Dynkin quivers of type \(A\). (English) Zbl 1345.55005
Reviewer: Martin Frankland (Osnabrück)
Decomposition spaces in Combinatorics. arXiv:1612.09225
Preprint, arXiv:1612.09225 [math.CO] (2016).
An algebraic definition of \((\infty, N)\)-categories. (English) Zbl 1320.18004
Reviewer: Ittay Weiss (Suva)
A foundation for PROPs, algebras, and modules. (English) Zbl 1328.18014
Mathematical Surveys and Monographs 203. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2197-7/hbk). xxxi, 311 p. (2015).
Reviewer: Sinan Yalin (København)
Canonicity of weak \(\omega\)-groupoid laws using parametricity theory. (English) Zbl 1337.03016
Jacobs, Bart (ed.) et al., Proceedings of the 30th conference on the mathematical foundations of programming semantics (MFPS XXX), Ithaca, NY, USA, June 12–15, 2014. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 308, 229-244, electronic only (2014).
Higher groupoid actions, bibundles, and differentiation. (English) Zbl 1331.18001
Göttingen: Univ. Göttingen (Diss.). x, 159 p. (2014).
The \(A_{\infty}\) de Rham theorem and integration of representations up to homotopy. (English) Zbl 1318.58009
Reviewer: Iakovos Androulidakis (Athína)
Representations up to homotopy and Bott’s spectral sequence for Lie groupoids. (English) Zbl 1284.55018
Reviewer: Cenap Özel (Bolu)
The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids. (English) Zbl 1297.57059
Reviewer: Zhaohu Nie (Altoona)
Martin-Löf complexes. (English) Zbl 1323.03012
Special issue: Proceedings of the XXI international fall workshop on geometry and physics, Burgos, Spain, August 30 – September 1, 2012. (English) Zbl 1275.81046
MSC:
81Q60
53C15
53B25
53C07
55P60
81T30
53D17
53C30
58J28
37J35
70H06
83C50
53C25
58D30
81S40
00B25
On homotopy types modelized by strict \(\infty\)-groupoids. (Sur les types d’homotopie modélisés par les \(\infty\)-groupoïdes stricts.) (French. English summary) Zbl 1273.18030
A category theory and higher dimensional algebra approach to complex systems biology, meta-systems and ontological theory of levels: emergence of life, society, human consciousness and articial intelligence. (English) Zbl 1340.92017
Double groupoids and homotopy 2-types. (English) Zbl 1263.18003
Reviewer: Timothy Porter (Bangor)
Modeling stable one-types. (English) Zbl 1252.18034
Covering morphisms of crossed complexes and of cubical \(\omega\)-groupoids are closed under tensor product. (English) Zbl 1242.18004
Reviewer: Ulrich Knauer (Oldenburg)
Van den Bergh duality and Batalin-Vilkoviskiĭ structure on Calabi-Yau algebras. (Dualité de Van den Bergh et structure de Batalin-Vilkoviskiĭ sur les algèbres de Calabi-Yau.) (French. English summary) Zbl 1267.16009
Translation groupoids and orbifold cohomology. (English) Zbl 1197.57026
Can. J. Math. 62, No. 3, 614-645 (2010); erratum ibid. 69, No. 4, 851-853 (2017).
Reviewer: Christopher Seaton (Memphis)
Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem. arXiv:1012.2824
Preprint, arXiv:1012.2824 [math.AT] (2010).
Presentation of homotopy types under a space. arXiv:1005.4810
Preprint, arXiv:1005.4810 [math.AT] (2010).
Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. (English) Zbl 1214.18014
Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 83-124 (2009).
Reviewer: Florin Nicolae (Berlin)
Lie theory for nilpotent \(L_{\infty}\)-algebras. (English) Zbl 1246.17025
Reviewer: Friedrich Wagemann (Nantes)
Semistrict models of connected 3-types and Tamsamani’s weak 3-groupoids. (English) Zbl 1144.55009
Reviewer: John McCleary (Poughkeepsie)
Homotopy theory of presheaves of simplicial. (Chinese. English summary) Zbl 1119.55011
Uniformization of Deligne-Mumford curves. (English) Zbl 1124.14004
Reviewer: Werner Kleinert (Berlin)
Homotopy localization of groupoids. (English) Zbl 1214.55009
Reviewer: Jérôme Scherer (Lausanne)
On a notion of maps between orbifolds. II: Homotopy and CW-complex. (English) Zbl 1108.22002
Reviewer: Mircea Puta (Timişoara)
2-categorical aspects of strong shape. (English) Zbl 1100.54012
Reviewer: Corina Mohorianu (Iaşi)
Higher principal bundles. (English) Zbl 1109.18007
Reviewer: Manuel Ladra Gonzalez (Santiago)
Groupoids and strong shape. (English) Zbl 1083.55008
Associative homotopy Lie algebras and Wronskians. (Russian, English) Zbl 1073.18007
Fundam. Prikl. Mat. 11, No. 1, 159-180 (2005); translation in J. Math. Sci., New York 141, No. 1, 1016-1030 (2007).
Reviewer: Elena M. Kreines (Moskva)
Canonical transformations of local functionals and sh-Lie structures. (English) Zbl 1076.53101
Reviewer: Andrew Bucki (Edmond)
Categories of spaces may not be generalized spaces as exemplified by directed graphs. (English) Zbl 1177.18003
Equivariant vector fields and self-maps of spheres. (English) Zbl 1046.57019
Reviewer: Raymond Barre (Valenciennes)
2-groupoid enrichments in homotopy theory and algebra. (English) Zbl 1009.18007
Reviewer: Richard John Steiner (Glasgow)
Finite quantum groupoids and inclusions of finite type. (English) Zbl 1022.18007
Longo, Roberto (ed.), Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20-24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Providence, RI: AMS, American Mathematical Society. Fields Inst. Commun. 30, 393-407 (2001).
Reviewer: Bernhard Drabant (Walldorf)
Equivariant orientation theory. (English) Zbl 0994.55009
Reviewer: Juan Antonio Pérez (Zacatecas)
Free crossed resolutions of groups and presentations of modules of identities among relations. (English) Zbl 0939.20029
Reviewer: J.Huebschmann (Villeneuve d’Ascq)
Low dimensional homotopy for monoids. II: Groups. (English) Zbl 0932.20046
Reviewer: B.Zimmermann (Trieste)
Categorification. (English) Zbl 0923.18002
Getzler, Ezra (ed.) et al., Higher category theory. Workshop on higher category theory and physics, Evanston, IL, USA, March 28–30, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 230, 1-36 (1998).
Reviewer: R.J.Steiner (Glasgow)
Fundamental pro-groupoids and covering projections. (English) Zbl 0906.55008
Reviewer: C.Mohorianu (Iaşi)
Quantizing Poisson manifolds. (English) Zbl 0899.16012
Coburn, Lewis A. (ed.) et al., Perspectives on quantization. Proceedings of a 1996 AMS-IMS-SIAM joint summer research conference, Mt. Holyoke College, South Hadley, MA, USA, July 7–11, 1996. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 214, 189-195 (1998).
Reviewer: A.A.Bogush (Minsk)
Internal categories in a left exact cosimplicial category. (English) Zbl 0892.18001
Reviewer: T.Porter (Bangor)
Homotopy theory, and change of base for groupoids and multiple groupoids. (English) Zbl 0859.55001
Reviewer: R.J.Steiner (Glasgow)
Quillen closed model structures for sheaves. (English) Zbl 0828.18005
Reviewer: R.J.Steiner (Glasgow)
Various applications of symmetric groupoids. (English) Zbl 0837.20079
Reviewer: M.A.Akivis (Moskva)
Algebraic classification of equivariant homotopy 2-types. I. (English) Zbl 0787.55008
Reviewer: J.W.Rutter (Liverpool)
Strong stacks and classifying spaces. (English) Zbl 0733.18011
Reviewer: D.H.Van Osdol (Durham)
The connection between the fundamental groupoid and a unification algorithm for syntactic algebras (Extended abstract). (English) Zbl 0768.68084
Homotopy colimits on E-I-categories. (English) Zbl 0754.18009
Algebraic topology, Proc. Conf., Poznań/Pol. 1989, Lect. Notes Math. 1474, 273-294 (1991).
Reviewer: T.Porter (Bangor)
\(\infty\)-groupoids as a model for a homotopy category. (English. Russian original) Zbl 0721.55015
Russ. Math. Surv. 45, No. 5, 239-240 (1990); translation from Usp. Mat. Nauk 45, No. 5(275), 183-184 (1990).
Reviewer: I.Pop (Iaşi)
Some problems in non-Abelian homotopical and homological algebra. (English) Zbl 0693.55017
Homotopy theory and related topics, Proc. Int. Conf., Kinosaki/Japan 1988, Lect. Notes Math. 1418, 105-129 (1990).
Reviewer: M.Unsöld
Crossed modules. (English) Zbl 0668.20002
Reviewer: T.Porter
Topology: A geometric account of general topology, homotopy types and the fundamental groupoid. Rev., updated and expanded ed. (English) Zbl 0655.55001
Ellis Horwood Series in Mathematics and its Applications. Chichester (UK): Ellis Horwood Ltd.; New York etc.: Halsted Press. xvii, 460 p. £38.50 (1988).
Reviewer: L.Neuwirth
Boundedly controlled topology. Foundations of algebraic topology and simple homotopy theory. (English) Zbl 0646.57001
Lecture Notes in Mathematics, 1323. Berlin etc.: Springer-Verlag. xii, 309 p. (1988).
Reviewer: J.Weinstein
Groupes locaux analytiques et abstraits. (Analytical and abstract local groups). (French) Zbl 0694.22001
Reviewer: K.Mackenzie
From groups to groupoids: A brief survey. (English) Zbl 0612.20032
Reviewer: J.Weinstein
Filter Results by …
Document Type
- Journal Articles (88)
- Collection Articles (14)
- Books (8)
- arXiv Preprints (8)
all
top 5
Author
- Brown, Ronald (15)
- Kamps, Klaus Heiner (8)
- Heath, Philip R. (6)
- Kachour, Camell (6)
- Costenoble, Steven R. (3)
- Higgins, Philip John (3)
- Waner, Stefan (3)
- Arias Abad, Camilo (2)
- Cegarra, Antonio Martínez (2)
- May, Jon Peter (2)
- Osorno, Angélica Maria (2)
- Sharapov, Alexey A. (2)
- Stramaccia, Luciano (2)
- Al-Ashhab, Samer S. (1)
- Anderson, Douglas Ross (1)
- Ángel, Andrés (1)
- Ara, Dimitri (1)
- Avcioǧlu, Osman (1)
- Awodey, Steve (1)
- Baez, John C. (1)
- Baianu, Ion C. (1)
- Balcerzak, Bogdan (1)
- Ballesteros, Angel (1)
- Baues, Hans-Joachim (1)
- Behrend, Kai A. (1)
- Ben-Zvi, David (1)
- Berwick-Evans, Daniel (1)
- Biswas, Indranil (1)
- Blasco, Alfonso (1)
- Bleile, Beatrice (1)
- Boavida de Brito, Pedro (1)
- Bönicke, Christian (1)
- Buchholtz, Ulrik (1)
- Bunk, Severin (1)
- Burton, Simon (1)
- Caine, Arlo (1)
- Calaque, Damien (1)
- Carchedi, David Joseph (1)
- Casacuberta, Carles (1)
- Chatzistavrakidis, Athanasios (1)
- Chen, Weimin (1)
- Choudhury, Snigdha Bharati (1)
- Colman, Hellen (1)
- Connes, Alain (1)
- Consani, Caterina (1)
- Crainic, Marius (1)
- Crans, Sjoerd E. (1)
- Dell’Aiera, Clément (1)
- Dolan, James G. (1)
- Dwyer, William G. (1)
- Ellis, Graham J. (1)
- Endres, Norbert (1)
- Evens, Samuel (1)
- Fulp, Ron (1)
- Gabe, James (1)
- Gálvez-Carrillo, Imma (1)
- Getzler, Ezra (1)
- Glazebrook, James F. (1)
- Golasiński, Marek (1)
- Grivaux, Julien (1)
- Guillou, Bertrand J. (1)
- Hardie, Keith A. (1)
- Heredia, Benjamín A. (1)
- Hernández Paricio, Luis Javier (1)
- Herranz, Francisco José (1)
- Hilton, Peter John (1)
- Hofman, Christiaan (1)
- Hofstra, Pieter J. W. (1)
- Holkar, Rohit Dilip (1)
- Horadam, Kathy J. (1)
- Hossain, Md Amir (1)
- Janssens, Bas (1)
- Jardine, John Frederick (1)
- Johnson, Mark W. (1)
- Johnson, Niles (1)
- Jonke, Larisa (1)
- Joyal, André (1)
- Kan, Daniel Marinus (1)
- Kapranov, Mikhail M. (1)
- Kiselev, Arthemy V. (1)
- Kock, Joachim (1)
- Kohno, Toshitake (1)
- Kubarski, Jan (1)
- Kupriyanov, Vladislav G. (1)
- Ladegaillerie, Yves (1)
- Lambre, Thierry (1)
- Lasson, Marc (1)
- Latch, Dana May (1)
- Lawton, Sean (1)
- Lawvere, Francis William (1)
- Lechtenfeld, Olaf (1)
- Li, Du (1)
- Louis, Ruben (1)
- Luo, Zhiming (1)
- Luo, Zhiming (1)
- Lyakhovich, Simon L. (1)
- Mann, Etienne (1)
- Merati, S. (1)
- Merling, Mona (1)
- Moerdijk, Ieke (1)
- and 59 more Authors
all
top 5
Serial
- J. Pure Appl. Algebra (7)
- Cah. Topologie Géom. Différ. Catégoriques (6)
- J. Geom. Phys. (4)
- Adv. Math. (4)
- Theory Appl. Categ. (4)
- Topology Appl. (3)
- Appl. Categ. Struct. (3)
- Pac. J. Math. (2)
- Homology Homotopy Appl. (2)
- Cah. Topol. Géom. Différ. Catég. (2)
- Int. J. Geom. Methods Mod. Phys. (2)
- Lect. Notes Math. (2)
- Categ. Gen. Algebr. Struct. Appl. (2)
- Bull. Aust. Math. Soc. (1)
- Commun. Math. Phys. (1)
- Lett. Math. Phys. (1)
- Math. Proc. Camb. Philos. Soc. (1)
- Nucl. Phys., B (1)
- Russ. Math. Surv. (1)
- Bull. Lond. Math. Soc. (1)
- Can. J. Math. (1)
- Demonstr. Math. (1)
- Fundam. Math. (1)
- Glasg. Math. J. (1)
- Ill. J. Math. (1)
- Indag. Math. (1)
- J. Reine Angew. Math. (1)
- Math. Z. (1)
- Proc. Lond. Math. Soc. (3) (1)
- Quaest. Math. (1)
- C. R. Math. Acad. Sci., Soc. R. Can. (1)
- Ann. Pure Appl. Logic (1)
- \(K\)-Theory (1)
- Forum Math. (1)
- Int. J. Math. (1)
- Differ. Geom. Appl. (1)
- Int. Math. Res. Not. (1)
- C. R. Acad. Sci., Paris, Sér. I (1)
- Ir. Math. Soc. Bull. (1)
- Topol. Methods Nonlinear Anal. (1)
- Turk. J. Math. (1)
- Georgian Math. J. (1)
- Pure Appl. Math. (1)
- Fundam. Prikl. Mat. (1)
- Ann. Math. (2) (1)
- LMS J. Comput. Math. (1)
- Acta Math. Sin., Engl. Ser. (1)
- Commun. Contemp. Math. (1)
- Algebr. Geom. Topol. (1)
- Acta Univ. Apulensis, Math. Inform. (1)
- Repr. Theory Appl. Categ. (1)
- Miskolc Math. Notes (1)
- Math. Surv. Monogr. (1)
- Sémin. Gaston Darboux Géom. Topologie Différ. (1)
- Panor. Synth. (1)
- J. Noncommut. Geom. (1)
- J. Phys. A, Math. Theor. (1)
- J. Homotopy Relat. Struct. (1)
- J. Geom. Mech. (1)
- Proc. Int. Geom. Cent. (1)
- Eur. J. Math. (1)
- Korean J. Math. (1)
- High. Struct. (1)
all
top 5
Year of Publication
- 2024 (2)
- 2023 (9)
- 2022 (1)
- 2021 (7)
- 2020 (6)
- 2019 (2)
- 2018 (2)
- 2017 (4)
- 2016 (7)
- 2015 (2)
- 2014 (4)
- 2013 (6)
- 2012 (3)
- 2011 (1)
- 2010 (4)
- 2009 (2)
- 2007 (1)
- 2006 (6)
- 2005 (4)
- 2004 (2)
- 2003 (1)
- 2002 (1)
- 2001 (2)
- 1999 (3)
- 1998 (3)
- 1997 (1)
- 1996 (1)
- 1995 (1)
- 1994 (1)
- 1993 (1)
- 1991 (3)
- 1990 (2)
- 1988 (3)
- 1987 (2)
- 1986 (1)
- 1984 (3)
- 1983 (3)
- 1982 (2)
- 1981 (4)
- 1979 (2)
- 1978 (2)
- 1972 (1)
all
top 3
Main Field
- 55-XX (96)
- 18-XX (79)
- 20-XX (42)
- 57-XX (29)
- 53-XX (17)
- 58-XX (17)
- 22-XX (15)
- 14-XX (14)
- 17-XX (12)
- 81-XX (10)
- 16-XX (9)
- 03-XX (8)
- 13-XX (4)
- 37-XX (4)
- 54-XX (4)
- 70-XX (4)
- 00-XX (3)
- 19-XX (3)
- 32-XX (3)
- 46-XX (3)
- 01-XX (2)
- 68-XX (2)
- 05-XX (1)
- 06-XX (1)
- 08-XX (1)
- 43-XX (1)
- 52-XX (1)
- 83-XX (1)
- 91-XX (1)
- 92-XX (1)
- 93-XX (1)
