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Higher category theory
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81	Groupoids and crossed objects in algebraic topology Ronald Brown∗ School of Computer Science Bangor University United Kingdom October 23, 2011 Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2011-10-23 12:37:46 Homotopy theory Category theory Higher category theory Algebraic topology Algebraic structures Groupoid Double groupoid Seifert–van Kampen theorem Group action Abstract algebra Mathematics Algebra
82	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
83	************************************** 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
84	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
85	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
86	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
87	INTRODUCTION Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group K0 of a category and uses explicit algebraic presentations, and higher algebraic K-theory which requir Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2013-10-25 00:52:27 Algebraic K-theory K-theory Algebraic topology Sheaf Alexander Grothendieck Chern class Algebraic geometry Étale cohomology Grothendieck group Abstract algebra Algebra Homological algebra
88	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
89	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
90	Further thoughts on pointfree versus classical function rings Bernhard Banaschewski This talk will describe a substantially revised version of the proof, presented here last October, that the pointfree function rings RL Add to Reading List Source URL: www.mth.uct.ac.za Language: English - Date: 2014-04-04 11:01:20 General topology Category theory Model theory Adjoint functors Higher category theory Semilattice Closure Mathematical logic Compact space Topology Mathematics Abstract algebra

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