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Homotopy theory
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701	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
702	************************************** 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
703	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
704	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
705	ON THE NUMBER OF TOPOLOGICAL TYPES OCCURRING IN A PARAMETRIZED FAMILY OF ARRANGEMENTS SAUGATA BASU Abstract. Let S(R) be an o-minimal structure over R, T ⊂ Rk1 +k2 +` a closed definable set, and π1 : Rk1 +k2 +` → Rk Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:48 Homotopy CW complex Degree of a continuous mapping Homeomorphism Homotopy group Homotopy lifting property Topology Homotopy theory Algebraic topology
706	Journal of Homotopy and Related Structures, vol. 1(1), 2006, pp.175–183 GROUPOIDS, THE PHRAGMEN-BROUWER PROPERTY, AND THE JORDAN CURVE THEOREM RONALD BROWN (communicated by Frederick Cohen) Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-12-16 10:48:42 Mathematics Seifert–van Kampen theorem Groupoid Covering space Fundamental group Pushout Group action Path Jordan curve theorem Abstract algebra Topology Homotopy theory
707	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
708	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
709	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
710	CHAPTER V THE FUNDAMENTAL THEOREMS OF HIGHER K-THEORY We now restrict our attention to exact categories and Waldhausen categories, where the extra structure enables us to use the following types of comparison theorems: Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-05 22:33:34 Homological algebra Algebraic topology Functors Homotopy theory Adjoint functors Exact functor Homotopy group Sheaf Morita equivalence Abstract algebra Algebra Topology

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