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Homotopy category
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191	A MODEL STRUCTURE FOR THE HOMOTOPY THEORY OF CROSSED COMPLEXES Ronald BROWN and Marek GOLASINSKI∗ Abstract ` des complexes de chaˆıne mais avec les propri´et´es nonLes complexes crois´es sont analogues a Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-05-28 06:24:21 Mathematics Category theory Model category Groupoid Crossed module Weak equivalence Homotopy group Fibration Fibrant object Homotopy theory Abstract algebra Topology
192	COVERING GROUPS OF NON-CONNECTED TOPOLOGICAL GROUPS REVISITED Ronald Brown and Osman Mucuk School of Mathematics University of Wales Bangor, Gwynedd LL57 1UT, U.K. Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2006-12-18 10:25:20 Category theory Homotopy theory Algebraic topology Algebraic structures Symmetry Groupoid Lie groupoid Group action Double groupoid Abstract algebra Mathematics Algebra
193	COMPUTING HOMOTOPY TYPES USING CROSSED N -CUBES OF GROUPS∗ Ronald Brown University of Wales, Bangor Gwynedd LL57 1UT, U.K. Dedicated to the memory of Frank Adams Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2006-08-12 17:58:10 Mathematics Algebraic topology Category theory Higher category theory Algebraic structures Crossed module Homotopy group Seifert–van Kampen theorem Double groupoid Abstract algebra Topology Homotopy theory
194	Crossed complexes and chain complexes with operators∗ by RONALD BROWN School of Mathematics, University College of North Wales, Bangor, Gwynedd LL57 1UT PHILIP J. HIGGINS Department of Mathematical Sciences, University Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-04-04 03:58:11 Homotopy theory Category theory Algebraic topology Group theory Group actions Groupoid Category Adjoint functors Crossed module Abstract algebra Algebra Mathematics
195	Category Theory: an abstract setting for analogy and comparison R. Brown and T.Porter Abstract ‘Comparison’ and ‘Analogy’ are fundamental aspects of knowledge acquisition. We argue that one of the reasons for the Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2005-10-05 12:18:56 Functors Algebraic structures Homotopy theory Higher category theory Groupoid Category Natural transformation Initial and terminal objects Group action Abstract algebra Category theory Mathematics
196	Intuitions for cubical methods in nonabelian algebraic topology Ronnie Brown IHP, Paris, June 5, 2014 CONSTRUCTIVE MATHEMATICS AND MODELS OF TYPE Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2014-06-08 07:12:18 Homotopy theory Category theory Algebraic topology Higher category theory Algebraic structures Seifert–van Kampen theorem Double groupoid Groupoid Crossed module Abstract algebra Topology Mathematics
197	arXiv:math.DG[removed]v3 2 Feb[removed]Connes’ tangent groupoid and strict quantization Jos´e F. Cari˜ nena a, Jes´ Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2002-02-22 04:24:29 Differential geometry Differential topology Homotopy theory Riemannian geometry Category theory Groupoid Riemannian manifold Exponential map Double groupoid Mathematical analysis Mathematics Topology
198	The Geometry and Topology of Orientifolds II Dan Freed University of Texas at Austin May 21, 2009 Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2009-05-21 23:23:19 Algebraic topology Homotopy theory Homological algebra Sheaf theory Category theory Groupoid Cohomology Covering space Atiyah–Singer index theorem Abstract algebra Topology Mathematics
199	Geometry of manifolds, lecture 7 M. Verbitsky Geometry of manifolds Lecture 7: Categories and locally trivial fibrations Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-04-08 12:25:35 Algebraic topology Differential topology Homotopy theory Category theory Category Vector bundle Initial and terminal objects Sheaf Morphism Abstract algebra Topology Algebra
200	K-THEORY OF A WALDHAUSEN CATEGORY AS A SYMMETRIC SPECTRUM MITYA BOYARCHENKO Abstract. If C is a Waldhausen category (i.e., a “category with cofibrations and weak equivalences”), it is known that one can define its K- Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2007-11-04 13:29:42 Mathematics Topology Waldhausen category Cofibration Algebraic K-theory Weak equivalence Simplicial set Q Nerve Abstract algebra Homotopy theory Category theory

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