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A¹ homotopy theory
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231	ARTIN GROUPS, 3-MANIFOLDS AND COHERENCE C. MCA. GORDON* Dedicated to Fico on the occasion of his 60th birthday. 1. Introduction. By a labeled graph we shall mean a ﬁnite (non-empty) graph Γ, without loops or multiple Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2003-08-11 08:38:29 Homotopy theory Fundamental group Quotient group Abstract algebra Group theory Algebraic topology
232	Version 4.2 Metabolism, Reproduction, and Chirality Insights from a groupoid stereochemistry Rodrick Wallace, Ph.D. Division of Epidemiology Add to Reading List Source URL: pages.bangor.ac.uk Language: English - Date: 2008-10-29 11:47:41 Homotopy theory Category theory Algebraic structures Symmetry Groupoid Group actions Equivalence relation Path Category Abstract algebra Mathematics Algebra
233	Journal of Knot Theory and Its Ramifications c World Scientific Publishing Company ON THE REVERSIBILITY OF TWIST-SPUN KNOTS Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2003-04-10 09:19:04 Surgery theory Knot theory Maps of manifolds Invertible knot Orbifold Cobordism Homotopy Degree of a continuous mapping Mapping class group Topology Differential topology Algebraic topology
234	BOUNDING THE NUMBER OF STABLE HOMOTOPY TYPES OF A PARAMETRIZED FAMILY OF SEMI-ALGEBRAIC SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. We prove a nearly optimal bound on the number of s Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:03 Homotopy Algebraic geometry CW complex Algebraic topology Freudenthal suspension theorem Homotopy category Topology Homotopy theory Abstract algebra
235	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
236	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
237	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
238	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
239	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
240	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

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