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Homotopy theory
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181	PROJECT DESCRIPTION: HIGHER CATEGORICAL STRUCTURES AND THEIR APPLICATIONS PROPOSED RESEARCH 1. Background, context, and perspective Eilenberg and Mac Lane introduced categories, functors, and natural transformations in t Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2002-09-30 18:59:34 Homotopy theory Algebraic topology Category theory Higher category theory Algebraic geometry Higher-dimensional algebra Topological quantum field theory Homotopy group Directed algebraic topology Monoidal category Algebraic K-theory Homotopy
182	Lecture on Mochizuki’s anabeloids Motivation: Assume k = C, X is a hyperbolic curve over C (smooth of genus g with r deleted points such that 2g − 2 + r > 0. e → X. It is known that X ∼ Consider the universal co Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2015-12-10 03:53:22 Algebraic topology Algebraic geometry Category theory Homotopy theory Scheme theory tale fundamental group tale morphism Morphism Category Sheaf Functor Covering space
183	SIMPLICES AT INFINITY IN CAT(0) CUBE COMPLEXES MARK F. HAGEN These are notes for lectures given in Nice in March 2016, on simplicial boundaries of CAT(0) cube complexes. They cover the denition, basic properties, some Add to Reading List Source URL: www.wescac.net Language: English - Date: 2016-02-27 09:13:10 Algebraic topology Topological spaces Homotopy theory Geometric group theory Triangulation Simplicial complex Simplex Gromov boundary Convex set CW complex Hyperplane Arrangement of hyperplanes
184	PROGRAM FOR THE ARBEITSGEMEINSCHAFT ON “CLASSICAL RESULTS IN ALGEBRAIC AND DIFFERENTIAL TOPOLOGY” (WINTER TERM) Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2012-11-23 03:50:34 Homotopy theory Algebraic topology Surgery theory Geometric topology Algebraic geometry Algebraic K-theory Cobordism EilenbergMacLane space Topology Cohomology Homotopy group Homotopy
185	ALGEBRAIC VERSUS TOPOLOGICAL TRIANGULATED CATEGORIES STEFAN SCHWEDE These are extended and updated notes of a talk, the first version of which I gave at the Workshop on Triangulated Categories at the University of Leeds, Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2008-07-16 07:25:24 Homotopy theory Homological algebra Algebraic topology Triangulated category Spectrum Toda bracket Cohomology Derived category Steenrod algebra Homotopy category of chain complexes Homotopy category Singular homology
186	GROUPS OF HOMOTOPY SPHERES GRADUATE STUDENT SEMINAR WINTER TERM 2013 DOMINIK OSTERMAYR This semester we want to study groups of homotopy spheres. Let θn be the group of Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2013-09-30 08:35:02 Surgery theory Differential topology Geometric topology Cobordism Kervaire invariant H-cobordism Surgery exact sequence Handle decomposition Homotopy groups of spheres Signature Handlebody 3-manifold
187	k(n)-torsion-free H-spaces and P (n)-cohomology J. Michael Boardman W. Stephen Wilson June 2005 Add to Reading List Source URL: www.math.jhu.edu Language: English - Date: 2014-03-30 15:19:14 Algebraic topology Homological algebra Cohomology theories Homotopy theory Cohomology Landweber exact functor theorem Morava K-theory Spectrum Sheaf Thom space Cobordism Adams spectral sequence
188	On rigidity of the ring spectra PmS(p) and ko Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2012-10-05 05:42:27 Homotopy theory Model category Highly structured ring spectrum Homotopy category Spectrum Derived category Stable model category Algebraic K-theory Cohomology Quillen adjunction Homotopy Triangulated category
189	Type Theory and Constructive Mathematics Type Theory and Constructive Mathematics Thierry Coquand University of Gothenburg Add to Reading List Source URL: events.cs.bham.ac.uk Language: English - Date: 2012-04-26 12:08:36 Homotopy theory General topology Topology Contractible space Connected space Homotopy Univalent foundations Topological space Continuous function
190	Math. Ann. 312, 717–Mathematische Annalen c Springer-Verlag 1998 Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2012-08-01 06:52:27 Differential topology Surgery theory Geometric topology Vector bundles Homotopy theory Immersion 3-manifold Stable normal bundle Cobordism Kervaire invariant Seifert surface Tangent bundle

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