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A homotopy theory
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31	Introduction to Diﬀeology" 24th October - 4th November 2016" Galatasaray University, Istanbul, Turkey A 12 hours course by Patrick IglesiasZemmour, in the framework of the Program on Diffeology Studies, Add to Reading List Source URL: math.gsu.edu.tr Language: English - Date: 2016-07-19 03:41:04 Topology Algebraic topology Algebra Homotopy theory Cohomology theories Homological algebra Maps of manifolds Cohomology Homotopy Pullback De Rham cohomology
32	ON THE STAR-CONSTRUCTION FOR TOPOLOGICAL 4-MANIFOLDS PETER TEICHNER Abstract. We discuss existence and uniqueness of the ∗-construction which reverses the Kirby-Siebenmann invariant of a topological 4-manifold while fi Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2012-08-01 06:52:27 Topology Mathematics Algebra Surgery theory Algebraic topology Geometric topology Homotopy theory Differential topology Cobordism 4-manifold StiefelWhitney class Spin structure
33	HIGHER CATEGORIES IN A NUT-SHELL These are notes for a talk at the Max Planck Institute for Mathematics in SpringThe goal was to convince the audience that the necessary definitions for a good model of (symmetric Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2015-06-17 03:57:55 Mathematics Algebra Abstract algebra Homotopy theory Category theory Algebraic topology Functors Higher category theory Simplicial set Nerve Model category Monoidal category
34	Doctoral Student Seminar, Winter TermGeometric Group Theory Alexander Heß, Moritz Rodenhausen The main idea behind geometric group theory is as follows: Study a group by Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2010-09-13 05:34:05 Mathematics Algebra Topology Geometric group theory Algebraic topology Homotopy theory Group theory Karen Vogtmann Artin group Classifying space Differential geometry of surfaces CW complex
35	THE KERVAIRE INVARIANT ONE PROBLEM GRADUATE STUDENT SEMINAR SUMMER TERM 2014 MARKUS LAND Last semester we saw a proof of the following short exact sequence Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2014-03-18 11:26:34 Topology Mathematics Algebra Surgery theory Differential topology Homotopy theory Algebraic topology Quadratic forms Kervaire invariant Arf invariant Steenrod algebra Michel Kervaire
36	“THE HOMOTOPY TYPE OF THE COBORDISM CATEGORY” PROPOSAL FOR A SEMINAR PROGRAM WINTERSEMESTERThe main aim of the seminar will be to understand the main theorem in [GMTW07] and its proof. Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2007-11-15 04:50:26 Topology Abstract algebra Algebra Algebraic topology Surgery theory Homotopy theory Differential topology Sheaf theory Sheaf Cobordism Differentiable manifold H-cobordism
37	MODEL CATEGORIES OF DIAGRAM SPECTRA M. A. MANDELL, J. P. MAY, S. SCHWEDE and B. SHIPLEY [Received 24 May 1999; revised 5 JanuaryContents Part I. Diagram spaces and diagram spectra . Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2003-11-07 09:15:32 Algebra Mathematics Abstract algebra Homotopy theory Algebraic topology Category theory Functors Monoidal categories Highly structured ring spectrum Model category Symmetric spectrum Commutative ring spectrum
38	AG-SEMINAR WS: ∞-CATEGORIES AND THEIR APPLICATIONS MORITZ GROTH AND GEORGIOS RAPTIS The aim of higher category theory is to develop a theory of ‘categories with morphisms of arbitrarily high dimension’ that Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2011-10-16 11:41:31 Algebra Mathematics Abstract algebra Category theory Homotopy theory Homological algebra Functors Algebraic geometry Model category Simplicial set Andr Joyal Higher category theory
39	795 Documenta Math. Divisibility of the Dirac Magnetic Monopole as a Two-Vector Bundle over the Three-Sphere Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-12-31 12:50:39 Topology Mathematics Abstract algebra Homotopy theory Algebraic topology Differential topology Fiber bundles Maps of manifolds Vector bundle Topological K-theory Algebraic K-theory Cohomology
40	“The p-chain spectral sequence” by James F. Davis and Wolfgang L¨ uck Abstract We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-spac Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2011-03-02 09:33:38 Algebra Abstract algebra Mathematics Homotopy theory Category theory Algebraic topology Functors Homological algebra Cohomology Natural transformation Nerve Simplicial set