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Closed manifold
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31	BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 82, Number 1, January 1976 OPEN THREE-DIMENSIONAL MANIFOLDS WITH FINITELY GENERATED FUNDAMENTAL GROUPS Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 13:09:37 Manifolds Submanifold Topological manifold Handle decomposition 4-manifold Closed manifold Haken manifold Differentiable manifold Topology Geometric topology Differential topology
32	COARSE TOPOLOGY, ENLARGEABILITY, AND ESSENTIALNESS B. HANKE, D. KOTSCHICK, J. ROE, AND T. SCHICK A BSTRACT. Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-triv Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 K-theory Differential topology Algebraic topology Geometric topology Surgery theory Differentiable manifold Atiyah–Singer index theorem Baum–Connes conjecture Degree of a continuous mapping Topology Mathematics Abstract algebra
33	ENLARGEABILITY AND INDEX THEORY B. Hanke and T. Schick Abstract Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C ∗ -algebra of the f Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebraic topology Fiber bundles Differential topology Differential geometry Connection Vector bundle Connection form Holonomy Tangent space Topology Mathematical analysis Mathematics
34	POSITIVE SCALAR CURVATURE, K-AREA AND ESSENTIALNESS BERNHARD HANKE A BSTRACT. The Lichnerowicz formula yields an index theoretic obstruction to positive scalar curvature metrics on closed spin manifolds. The most general Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:36:21 Curvature Differential geometry Differential topology Geometric topology Riemannian geometry Differentiable manifold Ricci curvature Sectional curvature Surgery theory Topology Mathematical analysis Geometry
35	Zimmerman run11.tex V1 - January 5, 2008 1:08pm Page[removed]The Structure of Gunk: Adventures in the Ontology of Space Jeffrey T. Russell 1. points and gunk Add to Reading List Source URL: www.marcsandersfoundation.org Language: English - Date: 2013-08-20 14:33:53 Mereology Topological manifold Open set Closed set Manifold Connected space Base Measure Simple Topology General topology Gunk
36	MULTIVALUED FUNCTIONS AND FUNCTIONALS. AN ANALOGUE OF THE MORSE THEORY S. P. NOVIKOV I. Let M be a finite or infinite dimensional manifold and ω a closed 1-form, dω = 0. Integrating ω over paths in M defines a “mult Add to Reading List Source URL: www.mi.ras.ru Language: English - Date: 2007-09-07 07:29:31 Connection Fiber bundles Differential form Morse theory Multivalued function Differentiable manifold Sheaf Mathematical analysis Mathematics Topology
37	October 26, 2011 COUNTING ESSENTIAL SURFACES IN A CLOSED HYPERBOLIC THREE MANIFOLD JEREMY KAHN AND VLADIMIR MARKOVIC Abstract. Let M3 be a closed hyperbolic three manifold. We show that the number of genus g surface subg Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2011-10-28 05:10:28 Orbifold Representation theory of finite groups Riemann surfaces Geometry Topology
38	June 3, 2011 IMMERSING ALMOST GEODESIC SURFACES IN A CLOSED HYPERBOLIC THREE MANIFOLD JEREMY KAHN AND VLADIMIR MARKOVIC Abstract. Let M3 be a closed hyperbolic three manifold. We construct closed surfaces which map by im Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2011-06-03 08:08:48 Riemann surfaces Fuchsian group Covering space Orbifold Symbol Geometry Topology Abstract algebra
39	An Introduction to Moduli Spaces of Riemann Surfaces Owen Gwillian Motivation Let’s write Sg for the genus-g closed oriented surface. If we cut out n open disks, we get a compact surface with boundary that we will deno Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2011-08-27 13:07:28 Geometric topology Riemann surfaces Differential topology Differential geometry Hyperbolic geometry Complex manifold Mapping class group Manifold Diffeomorphism Geometry Topology Space
40	CELL-LIKE MAPS AND TOPOLOGICAL STRUCTURE GROUPS ON MANIFOLDS ALEXANDER N. DRANISHNIKOV AND STEVEN C. FERRY Abstract. We show that there are homotopy equivalences h : N → M between closed manifolds which are induced by Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:40 Homotopy theory Geometric topology Differential geometry Surgery exact sequence Normal invariant Sectional curvature Homotopy group Homotopy Riemannian manifold Topology Surgery theory Algebraic topology

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