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Homotopy
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#	Item
741	The Geometry and Topology of Orientifolds II Dan Freed University of Texas at Austin May 21, 2009 Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2009-05-21 23:23:19 Algebraic topology Homotopy theory Homological algebra Sheaf theory Category theory Groupoid Cohomology Covering space Atiyah–Singer index theorem Abstract algebra Topology Mathematics
742	Geometry of manifolds, lecture 8 M. Verbitsky Geometry of manifolds Lecture 8: Vector bundles 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 Vector bundles Vectors Fiber bundle Section Sheaf Vector space Topology Algebra Abstract algebra
743	Principal toric fibrations M. Verbitsky Principal Toric Fibrations Misha Verbitsky (Moscow - Glasgow) Add to Reading List Source URL: imperium.lenin.ru Language: English - Date: 2007-08-30 09:50:23 Homotopy theory Differential topology Differential geometry Complex manifolds Calabi–Eckmann manifold Fiber bundle Hopf fibration Line bundle Hypercomplex manifold Topology Abstract algebra Algebraic topology
744	Geometry 7: Smooth fibrations Misha Verbitsky Geometry 7: Smooth fibrations Rules: You may choose to solve only “hard” exercises (marked with !, * and ) or “ordinary” ones Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-04-15 12:22:03** Algebraic topology Homotopy theory Differential topology Differential geometry Fiber bundles Vector bundle Fibration Section Hopf fibration Topology Algebra Abstract algebra
745	Geometry of manifolds, lecture 9 M. Verbitsky Geometry of manifolds Lecture 9: Serre-Swan theorem Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-04-15 14:21:00 Differential topology Algebraic topology Vector bundles Vectors Homotopy theory Tangent bundle Fiber bundle Sheaf Ample line bundle Topology Algebra Mathematics
746	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
747	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
748	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
749	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
750	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

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