Higher category theory

Results: 120



#Item
31Mathematics / Algebraic topology / Category theory / Higher category theory / Algebraic structures / CW complex / Seifert–van Kampen theorem / Groupoid / Group action / Abstract algebra / Topology / Homotopy theory

C AHIERS DE TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES RONALD B ROWN P HILIP J. H IGGINS

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Source URL: archive.numdam.org

Language: English - Date: 2008-04-09 04:38:34
32Category theory / Mathematics / Algebraic topology / Quasi-category / Model category / Higher category theory / Simplicial set / Fibrant object / Nerve / Abstract algebra / Topology / Homotopy theory

Volume II The Theory of Quasi-Categories and its Applications Andr´e Joyal

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Source URL: mat.uab.cat

Language: English - Date: 2012-08-08 00:31:51
33Binary operations / Functions and mappings / Higher category theory / Galois connection / Function composition / Natural transformation / Morphism / Presentation of a group / Group / Abstract algebra / Mathematics / Category theory

Meeting a Fanclub: A Lattice of Generic Shape Selectors1 Roland Backhouse Richard Bird Paul Hoogendijk

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Source URL: www.cs.nott.ac.uk

Language: English - Date: 2009-09-03 12:04:24
34Adjoint functors / Natural transformation / Equivalence of categories / 2-category / Bicategory / Universal property / Morita equivalence / Category theory / Functors / Higher category theory

Theory and Applications of Categories, Vol. 29, No. 25, 2014, pp. 696–774. THE WEAKLY GLOBULAR DOUBLE CATEGORY OF FRACTIONS OF A CATEGORY SIMONA PAOLI, DORETTE PRONK Abstract. This paper introduces the construction of

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Source URL: www.emis.de

Language: English - Date: 2014-10-29 07:41:00
35William Lawvere / Ronald Brown / Category theory / Category of sets / Ieke Moerdijk / Mathematics / Michael Barr / Higher category theory

Theory and Applications of Categories, Vol. 27, 2012, page 1 INTRODUCTION The International Category Theory Conference (CT2011) was held on the University of British Columbia campus in Vancouver, Canada, during July 17-

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Source URL: www.emis.de

Language: English - Date: 2012-03-20 15:04:00
36Category theory / Homotopy theory / Algebraic structures / Group theory / Higher category theory / Groupoid / Double groupoid / Group action / Coproduct / Abstract algebra / Mathematics / Algebra

Theory and Applications of Categories, Vol. 28, No. 12, 2013, pp. 304–331. N -TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS DANY MAJARD Abstract. In this paper, we prove that the category of vacant n-tuple grou

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Source URL: www.emis.de

Language: English - Date: 2013-05-30 13:50:00
37Functors / Adjoint functors / Higher category theory / Homological algebra / Natural transformation / Bicategory / Exact functor / Equivalence of categories / Limit / Category theory / Abstract algebra / Mathematics

On Morita Contexts in Bicategories Bertalan P´ecsi Abstract We characterize abstract Morita contexts in several bicategories. In particular, we use heteromorphisms for the bicategory of categories

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Source URL: renyi.hu

Language: English - Date: 2010-08-12 18:17:34
38Adjoint functors / Higher category theory / Monad / Operad theory / N-category / Functor / Equivalence of categories / Universal property / Monoidal category / Category theory / Algebra / Abstract algebra

Theory and Applications of Categories, Vol. 28, No. 25, 2013, pp. 804–856. MULTITENSOR LIFTING AND STRICTLY UNITAL HIGHER CATEGORY THEORY MICHAEL BATANIN, DENIS-CHARLES CISINSKI AND MARK WEBER Abstract. In this articl

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Source URL: www.emis.de

Language: English - Date: 2013-09-25 12:24:00
39Constructible universe / Model category

Theory and Applications of Categories, Vol. 29, No. 2, 2014, pp. 17–20. ERRATUM TO “TOWARDS A HOMOTOPY THEORY OF HIGHER DIMENSIONAL TRANSITION SYSTEMS” PHILIPPE GAUCHER Abstract. Counterexamples for Proposition 8.

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Source URL: www.emis.de

Language: English - Date: 2014-03-05 13:57:00
40Category theory / Homotopy theory / Algebraic structures / Group theory / Higher category theory / Groupoid / Double groupoid / Group action / Coproduct / Abstract algebra / Mathematics / Algebra

Theory and Applications of Categories, Vol. 28, No. 12, 2013, pp. 304–331. N -TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS DANY MAJARD Abstract. In this paper, we prove that the category of vacant n-tuple grou

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Source URL: www.tac.mta.ca

Language: English - Date: 2013-05-30 15:50:35
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