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Homotopy group
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221	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
222	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
223	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
224	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
225	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
226	Revisiting the Tangent Groupoid A. Rivero August 8, 2002 Add to Reading List Source URL: dftuz.unizar.es Language: English - Date: 2003-03-21 17:38:03 Differential geometry Quantum field theory Renormalization group Homotopy theory Group theory Groupoid Butcher group Group action Derivative Mathematics Algebra Physics
227	Internalization of the Groupoid Interpretation of Homotopy Type Theory Matthieu Sozeau1,2 and Nicolas Tabareau1,3 1 πr2 and Ascola teams, INRIA Preuves, Programmes et Syst`emes (PPS) Add to Reading List Source URL: mattam.org Language: English - Date: 2014-02-10 10:38:50 Homotopy theory Groupoid Equivalence relation Group action Path Homotopy Functor Adjoint functors 2-group Abstract algebra Topology Mathematics
228	Group Theory, Topology, and Physics William Gordon Ritter Harvard Physics Department 17 Oxford St., Cambridge, MA[removed]Dated: March 6, 2005) Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-02-16 09:21:02 Homotopy theory Nonassociative algebra Algebraic topology Group theory Quasigroup Fundamental group Homotopy Path Homomorphism Abstract algebra Topology Mathematics
229	More Exercises for Algebraic Topology by Allen Hatcher Chapter[removed]Given a map f : X →Y , show that there exists a map g : Y →X with gf ≃ 11 iff X is a retract of the mapping cylinder Mf[removed]a) Suppose a CW co Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-03-18 16:11:29 Mathematics Homotopy theory CW complex Fundamental group Homotopy group Mayer–Vietoris sequence Homotopy Singular homology Covering space Topology Abstract algebra Algebraic topology
230	CERF THEORY FOR GRAPHS Allen Hatcher and Karen Vogtmann ABSTRACT. We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn . Applications include a simple geometri Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-12-27 13:43:53 Algebraic topology Geometric topology Fundamental group Homotopy theory Simplex Graph Karen Vogtmann Neighbourhood Triangulation Mathematics Topology Graph theory

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