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A¹ homotopy theory
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101	ACTIONS OF CLASSICAL SMALL CATEGORIES E. E. Floyd and W. J. Floyd Author addresses: Dept. of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, U.S.A. Add to Reading List Source URL: www.math.vt.edu Language: English - Date: 1996-10-14 11:55:13 Mathematics Homotopy category Functor Homotopy group Cofibration Homotopy Category of topological spaces Classifying space Equivalence of categories Topology Homotopy theory Abstract algebra
102	Planning Under Topological Constraints Using Beam-Graphs Venkatraman Narayanan† , Paul Vernaza† , Maxim Likhachev† , and Steven M. LaValle‡ Abstract— We present a framework based on graph search for navigation Add to Reading List Source URL: msl.cs.uiuc.edu Language: English - Date: 2013-07-11 14:59:39 Algebraic topology Abstract algebra Homotopy Fundamental group Motion planning Search algorithm Holonomic Path Robotic mapping Topology Homotopy theory Mathematics
103	NONPOSITIVE CURVATURE AND PARETO-OPTIMAL COORDINATION OF ROBOTS∗ ROBERT GHRIST† AND STEVEN M. LAVALLE‡ Abstract. Given a collection of robots sharing a common environment, assume that each possesses a graph (a 1-d Add to Reading List Source URL: msl.cs.uiuc.edu Language: English - Date: 2006-02-01 12:22:02 Metric geometry Algebraic topology Homotopy theory General topology Motion planning Pareto efficiency Covering space Fundamental group Mathematical optimization Topology Mathematics Geometry
104	A Topological Approach to Using Cables to Separate and Manipulate Sets of Objects Subhrajit Bhattacharya Soonkyum Kim Add to Reading List Source URL: robotics.usc.edu Language: English - Date: 2014-12-05 15:12:54 Homotopy theory Homotopy Fundamental group Torus Winding number Cohomology Differential geometry of curves CW complex Configuration space Topology Abstract algebra Algebraic topology
105	COMPLEXITY OF BEZOUT’S THEOREM IV: PROBABILITY OF SUCCESS; EXTENSIONS Michael Shub1 and Steve Smale1 Abstract. We estimate the probability that a given number of projective Newton steps applied to a linear homotopy of Add to Reading List Source URL: www6.cityu.edu.hk Language: English - Date: 2012-09-11 23:37:41 Spectral theory Ordinary differential equations Operator theory Analytic number theory Differential topology Orbifold Holomorphic functional calculus Mathematics Mathematical analysis Algebra
106	Computing a Canoni al Polygonal S hema of an Orientable Triangulated Surfa e Fran is Lazarus Mi hel Po hiolay Add to Reading List Source URL: www.gipsa-lab.grenoble-inp.fr Language: English - Date: 2014-12-19 04:40:39 Homotopy theory Line graph Graph theory Algebraic topology Fundamental group
107	EQUIVARIANT GYSIN MAPS AND PULLING BACK FIXED POINTS BERNHARD HANKE AND VOLKER PUPPE Dedicated to William Browder on the occasion of his 70th birthday Abstract. We develop a new approach to the pulling back fixed points Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Algebraic topology Differential topology Fiber bundles Homotopy theory Group actions Degree of a continuous mapping Vector bundle Sheaf Cohomology Abstract algebra Topology Algebra
108	HOMOTOPY GROUPS OF THE MODULI SPACE OF METRICS OF POSITIVE SCALAR CURVATURE BORIS BOTVINNIK, BERNHARD HANKE, THOMAS SCHICK, AND MARK WALSH Abstract. We show by explicit examples that in many degrees in a stable range the Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Mathematical physics Algebraic topology Differential topology Lemmas Morse theory Surgery theory Moduli space Differentiable manifold Diffeomorphism Abstract algebra Topology Mathematics
109	GEOMETRIC VERSUS HOMOTOPY THEORETIC EQUIVARIANT BORDISM BERNHARD HANKE A BSTRACT. By results of L¨offler and Comeza˜na, the Pontrjagin-Thom map from geometric G-equivariant bordism to homotopy theoretic equivariant bor Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Homotopy theory Fiber bundles Differential topology Surgery theory Cobordism Connection Thom space Universal bundle Representation theory Topology Abstract algebra Algebraic topology
110	REALIZATION OF EQUIVARIANT CHAIN COMPLEXES BERNHARD HANKE A BSTRACT. We discuss a question appearing in a recent article by A. Sikora [4] concerning the vanishing of certain differentials in the LeraySerre spectral seque Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebra Homotopy theory Group theory Spectral sequences Serre spectral sequence Sheaf Homotopy group CW complex Atiyah–Singer index theorem Abstract algebra Topology Algebraic topology