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Homotopy category
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211	FROM GROUPS TO GROUPOIDS: A BRIEF SURVEY ∗ RONALD BROWN Bull. London Math. Soc[removed][removed] Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2012-04-02 11:09:15 Homotopy theory Category theory Algebraic topology Group theory Higher category theory Groupoid Seifert–van Kampen theorem Double groupoid Group action Abstract algebra Mathematics Algebra
212	************************************** BANACH CENTER PUBLICATIONS, VOLUME INSTITUTE OF MATHEMATICS POLISH ACADEMY OF SCIENCES WARSZAWA 200* Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2006-11-26 09:46:46 Homotopy theory Algebraic topology Category theory Differential geometry Higher category theory Groupoid Double groupoid Seifert–van Kampen theorem Lie groupoid Abstract algebra Mathematics Topology
213	The Seifert-van Kampen Theorem for the fundamental groupoid of a space with a set of base points This note is an extract for the convenience of readers of a section of the book [BHS11], with some additional comments. Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2014-04-10 13:42:56 Algebra Category theory Higher category theory Algebraic structures Algebraic topology Double groupoid Seifert–van Kampen theorem Groupoid Pushout Abstract algebra Mathematics Homotopy theory
214	J. Daniel Christensen Department of Mathematics The University of Western Ontario London, Ontario N6A 5B7 http://jdc.math.uwo.ca [removed[removed]x86530 Add to Reading List Source URL: jdc.math.uwo.ca Language: English - Date: 2014-03-27 22:24:43 Jack Morava Algebraic topology Homotopy type theory Phantom map Homotopy category Book:M-Theory Peter Hilton Homotopy theory Topology Mathematics
215	Groups, groupoids and higher groupoids in algebraic topology An area of mathematics in which nonabelian structures have proved important is algebraic topology, where the fundamental group π1 (X, a) of a space X at a bas Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2010-12-20 11:50:11 Homotopy theory Category theory Higher category theory Algebraic topology Algebraic structures Double groupoid Seifert–van Kampen theorem Higher-dimensional algebra Homotopy group Abstract algebra Topology Mathematics
216	Homotopy theory, and change of base for groupoids and multiple groupoids∗† Ronald Brown March 6, 2007 Abstract Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-03-06 17:03:14 Homotopy theory Category theory Higher category theory Algebraic topology Algebraic structures Double groupoid Groupoid Seifert–van Kampen theorem Crossed module Abstract algebra Mathematics Topology
217	Graphs of Groups: Word Computations and Free Crossed Resolutions Emma Jane Moore November 2000 Summary Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-03-17 08:32:10 Homotopy theory Algebraic topology Category theory Geometric group theory Algebraic structures Groupoid Crossed module Fundamental group Graph of groups Abstract algebra Mathematics Algebra
218	CHAPTER IV DEFINITIONS OF HIGHER K-THEORY The higher algebraic K-groups of a ring R are defined to be the homotopy groups Kn (R) = πn K(R) of a certain topological space K(R), which we shall construct in Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-08-17 17:20:21 Algebraic topology Algebraic K-theory Homotopy category Homotopy group Whitehead theorem Out Homotopy Spectrum Classifying space Topology Abstract algebra Homotopy theory
219	Voevodsky’s Univalence Axiom in Homotopy Type Theory Steve Awodey, Álvaro Pelayo, and Michael A. Warren T Add to Reading List Source URL: www.ams.org Language: English - Date: 2013-09-09 12:55:06 Homotopy type theory Homotopy group Homotopy Model category Vladimir Voevodsky Mathematical logic Type theory Algebraic topology Homotopy category Homotopy theory Topology Mathematics
220	ALGEBRAIC COLIMIT CALCULATIONS IN HOMOTOPY THEORY USING FIBRED AND COFIBRED CATEGORIES RONALD BROWN AND RAFAEL SIVERA Abstract. Higher Homotopy van Kampen Theorems allow some colimit calculations of certain homotopical i Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2009-04-24 09:00:50 Fibred category Universal property Limit Adjoint functors Functor Cone Sheaf Coproduct Groupoid Category theory Abstract algebra Mathematics

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