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Homotopy theory
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#	Item
811	The work of Sylvain Cappell. Splitting Theorems Codimension two Add to Reading List Source URL: math.uchicago.edu Language: English - Date: 2011-06-28 10:31:01 Surgery theory Differential geometry Classification of manifolds Cobordism Borel conjecture Homotopy Characteristic class Manifold 3-manifold Topology Geometric topology Differential topology
812	Complex Morse Theory Jonathan Fisher April 22, 2010 Add to Reading List Source URL: www.math.utoronto.ca Language: English - Date: 2011-03-27 21:17:32 Algebraic topology Algebraic geometry Homotopy theory Lefschetz hyperplane theorem Morse theory Ample line bundle Hyperplane section Sheaf Fundamental group Abstract algebra Topology Mathematics
813	GAFA, Geom. funct. anal. Vol[removed] – [removed]443X[removed] $ 1.50+0.20/0 Add to Reading List Source URL: www.math.jussieu.fr Language: English - Date: 2008-10-23 16:11:41 K-theory Homotopy theory Operator theory Conjectures Surgery theory Baum–Connes conjecture Alain Connes Groupoid Amenable group Abstract algebra Mathematics Topology
814	JUVITOP ON BOUSFIELD LOCALIZATION DAVID WHITE Add to Reading List Source URL: math.mit.edu Language: English - Date: 2013-02-22 11:09:51 Homotopy theory Category theory Functors Homology theory Algebraic topology Model category Homotopy category Equivalence of categories Natural transformation Abstract algebra Topology Mathematics
815	Stacks and non-abelian cohomoloy B. To¨en January 17, 2002 Add to Reading List Source URL: www.math.univ-montp2.fr Language: English - Date: 2010-09-02 04:00:49 Homotopy theory Algebraic topology Category theory Sheaf theory Homological algebra Sheaf Model category Topos Simplicial set Abstract algebra Topology Mathematics
816	THE BG-RANK OF A PARTITION AND ITS APPLICATIONS ALEXANDER BERKOVICH AND FRANK G. GARVAN Abstract. Let π denote a partition into parts λ1 ≥ λ2 ≥ λ[removed]In a 2006 Add to Reading List Source URL: www.math.ufl.edu Language: English - Date: 2007-04-28 09:26:35 Group theory Quotient group Homotopy theory
817	1 THE GEOMETRIC HOPF INVARIANT Add to Reading List Source URL: www.maths.ed.ac.uk Language: English - Date: 2006-07-02 03:09:43 Algebraic topology Hopf invariant Homotopy Group action Covering space Steenrod algebra Fundamental group Topology Homotopy theory Abstract algebra
818	Derived Algebraic Geometry I: Stable ∞-Categories October 8, 2009 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2009-10-08 17:38:57 Homotopy theory Homological algebra Triangulated category Functor Adjoint functors Initial and terminal objects Universal property Coproduct Image Abstract algebra Category theory Mathematics
819	Nonabelian Poincare Duality (Lecture 8) April 17, 2013 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-04-18 01:42:20 Homology theory Homotopy theory Homological algebra Sheaf Poincaré duality Cohomology Representable functor Functor Eilenberg–MacLane space Topology Abstract algebra Algebraic topology
820	Homotopy theory begins with the homotopy groups πn (X) , which are the natural higher-dimensional analogs of the fundamental group. These higher homotopy groups have certain formal similarities with homology groups. For example, πn (X) turns out to be always abelian for n ≥ 2 , and there are relative homotopy groups fitting into a long exact sequence just like the long exact sequence of homology groups. Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-06-04 09:21:10 Algebraic topology Homotopy group Homotopy Fundamental group Eilenberg–MacLane space CW complex H-space Contractible space Path Topology Homotopy theory Abstract algebra

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