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Homotopy theory
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661	Geometry of manifolds, lecture 7 M. Verbitsky Geometry of manifolds Lecture 7: Categories and locally trivial fibrations Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-04-08 12:25:35 Algebraic topology Differential topology Homotopy theory Category theory Category Vector bundle Initial and terminal objects Sheaf Morphism Abstract algebra Topology Algebra
662	Group Theory, Topology, and Physics William Gordon Ritter Harvard Physics Department 17 Oxford St., Cambridge, MA[removed]Dated: March 6, 2005) Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-02-16 09:21:02 Homotopy theory Nonassociative algebra Algebraic topology Group theory Quasigroup Fundamental group Homotopy Path Homomorphism Abstract algebra Topology Mathematics
663	More Exercises for Algebraic Topology by Allen Hatcher Chapter[removed]Given a map f : X →Y , show that there exists a map g : Y →X with gf ≃ 11 iff X is a retract of the mapping cylinder Mf[removed]a) Suppose a CW co Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-03-18 16:11:29 Mathematics Homotopy theory CW complex Fundamental group Homotopy group Mayer–Vietoris sequence Homotopy Singular homology Covering space Topology Abstract algebra Algebraic topology
664	Topological Moduli Spaces of Knots Allen Hatcher Classical knot theory is concerned with isotopy classes of knots in the 3 sphere, in other words, path-components of the space K of all smooth submanifolds of S 3 diffeomo Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2002-10-19 13:14:09 Geometric topology Differential topology Conjectures Homotopy Torus Connected sum Trefoil knot Diffeomorphism Knot Topology Knot theory 3-manifolds
665	CERF THEORY FOR GRAPHS Allen Hatcher and Karen Vogtmann ABSTRACT. We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn . Applications include a simple geometri Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-12-27 13:43:53 Algebraic topology Geometric topology Fundamental group Homotopy theory Simplex Graph Karen Vogtmann Neighbourhood Triangulation Mathematics Topology Graph theory
666	ERRATUM TO “STABILIZATION FOR THE AUTOMORPHISMS OF FREE GROUPS WITH BOUNDARIES” ALLEN HATCHER AND NATHALIE WAHL The purpose of this note is to point out a gap in an argument in our paper [4] and explain how to fill i Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2007-09-15 08:10:18 Algebraic topology CW complex Allen Hatcher Torus Isomorphism Topology Mathematics Homotopy theory
667	THE COMPLEX OF FREE FACTORS OF A FREE GROUP Allen Hatcher * and Karen Vogtmann* ABSTRACT. We show that the geometric realization of the partially ordered set of proper free factors in a finitely generated free group of r Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-01-27 12:11:53 Algebraic topology Homotopy theory Topological spaces Geometric topology Building CW complex Triangulation Simplicial complex Simplex Topology Abstract algebra Mathematics
668	Spaces of Incompressible Surfaces Allen Hatcher The homotopy type of the space of PL homeomorphisms of a Haken 3 manifold was computed in [H1], and with the subsequent proof of the Smale conjecture in [H2], the computati Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1999-06-11 14:52:31 Algebraic topology 3-manifolds Homeomorphisms Haken manifold Diffeomorphism Torus Mapping class group Fiber bundle Homotopy group Topology Homotopy theory Geometric topology
669	ISSN[removed]on-line[removed]printed) Algebraic & Geometric Topology Volume[removed]–1272 Published: 24 December 2004 Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2007-09-15 08:10:37 Homotopy theory Algebraic topology Karen Vogtmann Homotopy group Mapping class group Euler characteristic Homotopy CW complex Out Topology Mathematics Abstract algebra
670	GALOIS SECTIONS FOR ABELIANIZED FUNDAMENTAL GROUPS arXiv:0808.2556v2 [math.AG] 9 Apr 2009 ´ SZAMUELY Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2012-04-13 17:27:34 Algebraic number theory Algebraic geometry Homological algebra Homotopy theory Étale cohomology Fundamental group Elliptic curve Galois module Abelian group Abstract algebra Algebra Algebraic topology

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