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Homotopy group
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261	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
262	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
263	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
264	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
265	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
266	J. Symbolic Computation[removed], 1–13 doi:[removed]jsco[removed]Available online at http://www.idealibrary.com on Computation and Homotopical Applications of Induced Crossed Modules Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2007-03-14 19:06:11 Algebraic topology Homological algebra Algebraic structures Group theory Crossed module Group cohomology Hurewicz theorem Homotopy group Adjoint functors Abstract algebra Algebra Homotopy theory
267	Homology, Homotopy and Applications, vol. 10(1), 2008, pp.1–17 A NEW HIGHER HOMOTOPY GROUPOID: THE FUNDAMENTAL GLOBULAR ω-GROUPOID OF A FILTERED SPACE RONALD BROWN Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-03-29 17:33:10 Mathematics Seifert–van Kampen theorem Crossed module Groupoid Homotopy group Hurewicz theorem Ronald Brown 2-group Fundamental group Abstract algebra Topology Homotopy theory
268	Journal of Homotopy and Related Structures, vol. 1(1), 2006, pp.1–12 EXACT SEQUENCES OF FIBRATIONS OF CROSSED COMPLEXES, HOMOTOPY CLASSIFICATION OF MAPS, AND NONABELIAN EXTENSIONS OF GROUPS Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-06-25 03:44:35 Algebraic topology Category theory Homology theory Crossed module Groupoid Homotopy group Model category Weak equivalence Homotopy lifting property Topology Homotopy theory Abstract algebra
269	Homology, Homotopy and Applications, vol. 10(1), 2008, pp.327–343 A NEW HIGHER HOMOTOPY GROUPOID: Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-04-19 01:30:31 Mathematics Seifert–van Kampen theorem Crossed module Groupoid Homotopy group Hurewicz theorem Ronald Brown 2-group Fundamental group Abstract algebra Topology Homotopy theory
270	Combinatorial descriptions of multi-vertex 2-complexes Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2011-03-09 11:09:38 Algebraic topology Homotopy theory Geometric group theory Surfaces Topological graph theory CW complex Cayley graph Fundamental group Torus Topology Mathematics Abstract algebra

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