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Homotopy group
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231	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
232	Finiteness of Classifying Spaces of Relative Diffeomorphism Groups of 3-Manifolds Allen Hatcher Darryl McCullough Department of Mathematics, Cornell University, Ithaca, NY 14853, USA Department of Mathematics, University Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-01-12 12:52:48 Differential topology 3-manifolds Diffeomorphism Haken manifold Mapping class group Dehn twist Orientability Homotopy Classification of manifolds Topology Geometric topology Homeomorphisms
233	Chapter 4 The Configuration Space Steven M. LaValle University of Illinois Add to Reading List Source URL: planning.cs.uiuc.edu Language: English - Date: 2012-04-20 17:07:06 Homeomorphism Homotopy Manifold Connected space Space Fundamental group Topological space Quotient space Differentiable manifold Topology General topology Topological manifold
234	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
235	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
236	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
237	Diffeomorphism Groups of Reducible 3-Manifolds Allen Hatcher In a 1979 announcement by C´esar de S´a and Rourke [CR] there is a sketch of an intuitively appealing approach to measuring the difference between the homoto Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2008-08-12 20:04:07 Differential topology Geometric topology Topological spaces Homotopy group CW complex Homotopy Diffeomorphism Surgery theory Euler characteristic Topology Homotopy theory Algebraic topology
238	A Short Exposition of the Madsen-Weiss Theorem Allen Hatcher The theorem of Madsen and Weiss [MW] identifies the homology of mapping class groups of surfaces, in a stable dimension range, with the homology of a certain i Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2014-02-12 10:55:42 Geometric topology Homotopy theory Mapping class group Diffeomorphism Orientability Manifold Thom space Homotopy group Homotopy Topology Differential topology Algebraic topology
239	RATIONAL HOMOLOGY OF AUT(Fn ) Allen Hatcher * and Karen Vogtmann* ABSTRACT. We compute the rational homology in dimensions less than seven of the group of automorphisms of a finitely generated free group of arbitrary ran Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-12-23 10:36:42 Geometric topology Algebraic topology Homotopy theory Fundamental group Entailment Mapping class group Curry–Howard correspondence Karen Vogtmann Train track map Topology Mathematics Abstract algebra
240	Riemann Surfaces This course on Riemann surfaces assumes that the reader is familiar with sheaf theory. 1 Add to Reading List Source URL: www.math.rug.nl Language: English - Date: 2004-04-19 07:18:04 Algebraic topology Modular forms Homotopy theory Riemann surfaces Group theory Covering space Modular curve Fuchsian group Valuation Abstract algebra Mathematics Topology

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