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Homotopy
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681	Eurographics Symposium on Point-Based Graphics[removed]M. Botsch, R. Pajarola (Editors) Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition Gurjeet Singh1 , Facundo Mémoli2 and Gu Add to Reading List Source URL: comptop.stanford.edu Language: English - Date: 2007-07-18 19:51:04 General topology Topological spaces Homotopy theory Data analysis Abstract simplicial complex Cluster analysis Filter Simplicial complex Betti number Topology Mathematics Algebraic topology
682	Proceedings of Symposia in Applied Mathematics Topological Data Analysis Afra Zomorodian Abstract. Scientific data is often in the form of a finite set of noisy points, sampled from an unknown space, and embedded in a h Add to Reading List Source URL: www.cs.dartmouth.edu Language: English - Date: 2012-07-08 15:09:20 Algebraic topology General topology Category theory Homotopy theory Nerve Topological space Simplicial complex Vietoris–Rips complex Simplicial set Topology Mathematics Abstract algebra
683	DESINGULARIZING HOMOLOGY MANIFOLDS J. BRYANT, S. FERRY, W. MIO, AND S. WEINBERGER Abstract. We prove that if X n , n ≥ 6, is a compact ANR homology n-manifold, we can blow up the singularities of X to obtain an ANR hom Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:38 Differential topology Algebraic topology Homotopy theory Surgery theory Differential geometry Manifold Cobordism Fiber bundle CW complex Topology Mathematics Abstract algebra
684	Topology of Homology Manifolds J. Bryant1, S. Ferry1 , W. Mio1, and S. Weinberger1; 2 Florida State University, SUNY at Binghamton and the Institute for Advanced Study, Florida State University, and The University of Chi Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:37 Surgery theory Homology theory Homotopy theory Surgery exact sequence Normal invariant Cobordism Degree of a continuous mapping Manifold Homotopy Topology Algebraic topology Differential topology
685	CONFIGURATIONS, BRAIDS AND HOMOTOPY GROUPS A. J. BERRICK† , F. R. COHEN∗ , Y. L. WONG† , AND J. WU† Abstract. Simplicial and ∆-structures of configuration spaces are investigated. New connections between the ho Add to Reading List Source URL: www.math.nus.edu.sg Language: English - Date: 2003-04-04 17:08:01 Mathematics Algebraic topology Homotopy group Simplicial set Brunnian link Fundamental group Braid group Out Homotopy Topology Abstract algebra Homotopy theory
686	Limits of polyhedra in Gromov-Hausdor Space S. C. Ferry SUNY at Binghamton November 20, 1995 Abstract. The main theorem of this paper is that compact metric spaces which are locally n-connected and which have cohomologi Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:39 Algebraic topology Homotopy theory Topological spaces Deformation retract Homology theory Metric space Cohomological dimension Contractible space Whitehead torsion Topology Abstract algebra Mathematics
687	EPSILON-DELTA SURGERY OVER Z STEVEN C. FERRY A BSTRACT. This manuscript fills in the details of the lecture I gave on “squeezing structures” in Trieste in June, 2001. The goal is to develop a controlled surgery theor Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:42 Homological algebra Surgery theory Homotopy theory Differential topology Whitehead torsion Surgery exact sequence Homotopy category of chain complexes Homotopy group Differentiable manifold Topology Abstract algebra Algebraic topology
688	U V k -MAPPINGS ON HOMOLOGY MANIFOLDS J. BRYANT, S. FERRY, AND W. MIO 1. Introduction A deformation theorem of Bestvina and Walsh [2] states that, below middle and adjacent dimensions, a (k + 1)-connected mapping of a co Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:51 General topology Degree of a continuous mapping Differential topology Homotopy Surgery theory N-connected Fundamental group Hurewicz theorem Locally connected space Topology Homotopy theory Algebraic topology
689	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
690	Chapter 1. Preface In 1963, John Milnor put forward a list of problems in geometric topology. 1. Let M 3 be a homology 3-sphere with π1 6= 0. Is the double suspension of M 3 homeomorphic to S 5 ? 2. Is simple homotopy Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-04-12 19:28:47 General topology Differential topology Functions and mappings Homeomorphism Embedding Topological manifold Continuous function Atiyah–Singer index theorem Torus Topology Mathematics Geometric topology

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