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Crossed module
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11	The Equivalence of ∞-groupoids and Crossed Complexes∗ Ronald Brown and Philip J Higgins Contents Introduction Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-02-28 12:57:33 Category theory Homotopy theory Algebraic structures Group actions Algebraic topology Groupoid Double groupoid Crossed module Ronald Brown Abstract algebra Algebra Mathematics
12	The algebra of cubes∗† Philip J. Higgins, Department of Mathematics Durham University Durham, DH1 3LE England Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-01-19 16:07:06 Mathematics Algebraic topology Category theory Higher category theory Algebraic structures Groupoid Double groupoid Crossed module Seifert–van Kampen theorem Abstract algebra Topology Homotopy theory
13	Crossed complexes and higher homotopy groupoids as non commutative tools for higher dimensional local-to-global problems∗ Ronald Brown† March 1, 2009 Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2009-03-01 12:04:52 Homotopy theory Algebraic topology Category theory Higher category theory Algebraic structures Double groupoid Crossed module Groupoid Seifert–van Kampen theorem Abstract algebra Topology Mathematics
14	VAN KAMPEN THEOREMS FOR DIAGRAMS OF SPACES∗ Ronald Brown and Jean-Louis Loday INTRODUCTION LET X be a pointed space and {A, B} an open cover of X such that A, B and C = A ∩ B are connected, and (A, C), (B, C) are 1-c Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-04-14 14:49:48 Homotopy theory Homotopy group Crossed module Fundamental group Covering space Sheaf Functor Adjoint functors Group cohomology Abstract algebra Topology Algebraic topology
15	C AHIERS DE TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES RONALD B ROWN C HRISTOPHER B. S PENCER Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-05-25 09:00:41 Mathematics Category theory Higher category theory Algebraic topology Algebraic structures Double groupoid Groupoid Seifert–van Kampen theorem Crossed module Abstract algebra Homotopy theory Topology
16	Colimit Theorems for Relative Homotopy Groups∗ Ronald Brown† School of Mathematics, University of Wales, Bangor, Dean St., Bangor, Gwynedd LL57 1UT, Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2012-12-14 09:39:55 Homotopy theory Algebraic topology Hurewicz theorem Homotopy group Crossed module Fundamental group CW complex Seifert–van Kampen theorem Homotopy Topology Abstract algebra Mathematics
17	HOMOTOPICAL EXCISION, AND HUREWICZ THEOREMS, FOR n-CUBES OF SPACES ∗ Ronald Brown and Jean-Louis Loday Introduction The fact that the relative homotopy groups do not satisfy excision makes the computation of absolute h Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2006-12-24 10:28:00 Algebraic topology Homology theory Hurewicz theorem Homotopy group Category theory Crossed module Fundamental group Functor Seifert–van Kampen theorem Abstract algebra Topology Homotopy theory
18	Advances in Mathematics 170, 71–[removed]doi:[removed]aima[removed]Multiple Categories: The Equivalence of a Globular and a Cubical Approach Fahd Ali Al-Agl1 Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2004-10-19 08:39:54 Category theory Homotopy theory Algebraic topology Groupoid Seifert–van Kampen theorem Crossed module Double groupoid Category Simplicial set Abstract algebra Topology Mathematics
19	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
20	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

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