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A¹ homotopy theory
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181	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2009-05-13 10:48:51 Algebraic topology Homotopy theory Differential topology Homotopy group Diffeomorphism Homotopy Degree of a continuous mapping Euler characteristic Out Topology Mathematics Abstract algebra
182	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-04-22 19:50:51 Homological algebra Homotopy theory Cohomology theories Scheme theory Cohomology Sheaf Spectrum of a ring Duality Spectrum Abstract algebra Algebra Algebraic topology
183	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-04-11 12:59:10 Algebraic topology Surgery theory Homotopy Spectrum Equivalence relation Degree of a continuous mapping Stiefel–Whitney class Surgery exact sequence Topology Homotopy theory Mathematics
184	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2014-04-10 21:34:24 Sheaf theory Algebraic topology Algebraic geometry Germ Étale morphism Sheaf Grothendieck topology A¹ homotopy theory Jet Abstract algebra Mathematics Topology
185	A PROOF OF THE BOREL-WEIL-BOTT THEOREM JACOB LURIE The aim of this note is to provide a quick proof of the Borel-Weil-Bott theorem, which describes the cohomology of line bundles on flag varieties. Let G denote a reducti Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2012-12-07 11:55:59 Representation theory of Lie groups Algebraic topology Vector bundles Differential topology Homotopy theory Borel–Weil–Bott theorem Weight Line bundle Fiber bundle Abstract algebra Topology Algebra
186	Introduction The following thesis plays a central role in deformation theory: (∗) If X is a moduli space over a field k of characteristic zero, then a formal neighborhood of any point x ∈ X is controlled by a differe Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-03-11 19:03:04 Category theory Scheme theory Homotopy theory Algebraic structures Ring theory Functor Moduli space Scheme Adjoint functors Abstract algebra Algebra Mathematics
187	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-04-27 14:58:02 Ring theory Algebraic topology Commutative algebra Algebraic structures Complex cobordism Spectrum of a ring Formal group Homotopy Spectrum Abstract algebra Algebra Homotopy theory
188	Assembly (Lecture 22) March 24, 2011 Let R be an A∞ -ring and let X be a connected finite polyhedron with a triangulation T . In the last fp lecture, we defined a subcategory Shv0T (X; LModfp Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-03-30 11:43:38 Surgery theory Assembly map K-theory Sheaf Functor Exact functor Spectrum of a ring Homotopy Exterior space Abstract algebra Topology Algebra
189	Dynamical Systems, Vol. 22, No. 1, March 2007, 3–10 Topological rigidity of semigroups of aﬃne maps ALEX CLARKy and ROBBERT FOKKINKz yFaculty of Mathematics, University of North Texas, Denton, Texas, USA zFaculty o Add to Reading List Source URL: www.math.unt.edu Language: English* - Date: 2007-03-27 14:55:38 Algebraic topology Group actions Morphisms Equivariant map Representation theory Homotopy Homomorphism Sheaf Induced homomorphism Abstract algebra Topology Algebra
190	EMBEDDING SOLENOIDS ALEX CLARK AND ROBBERT FOKKINK Abstract. A generalized solenoid is an inverse limit space with bonding maps that are (regular) covering maps of closed compact manifolds. We study the embedding propert Add to Reading List Source URL: www.math.unt.edu Language: English - Date: 2003-09-12 14:14:50 Differential topology Homotopy theory Differential geometry Fiber bundles Principal bundle Holonomy Covering space Solenoid Torus Topology Mathematics Algebraic topology

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