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Stable homotopy theory
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51	HOMOTOPY GROUPS OF THE MODULI SPACE OF METRICS OF POSITIVE SCALAR CURVATURE BORIS BOTVINNIK, BERNHARD HANKE, THOMAS SCHICK, AND MARK WALSH Abstract. We show by explicit examples that in many degrees in a stable range the Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Mathematical physics Algebraic topology Differential topology Lemmas Morse theory Surgery theory Moduli space Differentiable manifold Diffeomorphism Abstract algebra Topology Mathematics
52	THE STABLE FREE RANK OF SYMMETRY OF PRODUCTS OF SPHERES BERNHARD HANKE A BSTRACT. A well known conjecture in the theory of transformation groups states that if p is a prime and (Z/p)r acts freely on a product of k sphere Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Homotopy theory Homology theory Homological algebra Binary operations Cohomology Rational homotopy theory Cup product Chain complex Model category Abstract algebra Topology Algebraic topology
53	Contemporary Mathematics H∞ 6= E∞ Justin Noel Abstract. We provide an example of a spectrum over S 0 with an H∞ structure which does not rigidify to an E3 structure. It follows that in the category of spectra over Add to Reading List Source URL: www.nullplug.org Language: English - Date: 2014-04-22 16:45:21 Abstract algebra Spectrum E∞-operad Homotopy category Homotopy Sigma-algebra Stable homotopy theory Out Highly structured ring spectrum Homotopy theory Topology Mathematics
54	STABLE ALGEBRAIC TOPOLOGY, 1945–1966 J. P. MAY Contents 1. Setting up the foundations 2. The Eilenberg-Steenrod axioms Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-04-05 12:58:39 Homotopy theory Cohomology Adams spectral sequence Eilenberg–Steenrod axioms Homotopy groups of spheres Thom space Eilenberg–MacLane space Singular homology Cobordism Topology Abstract algebra Algebraic topology
55	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-04-15 12:08:45 Abstract algebra Surgery theory Algebraic topology Differential geometry Homotopy theory Cobordism Stable normal bundle Vector bundle Normal bundle Topology Differential topology Mathematics
56	Ambidexterity in K(n)-Local Stable Homotopy Theory Michael Hopkins and Jacob Lurie December 19, 2013 Contents 1 Multiplicative Aspects of Dieudonne Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-12-19 12:27:06 Algebras Hopf algebras Representation theory Algebraic groups Monoidal categories Associative algebra Coalgebra Formal group Group scheme Abstract algebra Algebra Mathematics
57	STABLE COMPACTIFICATIONS OF POLYHEDRA STEVEN C. FERRY Abstract. We prove that if X is a locally nite n-dimensional polyhedron such that X Q admits a Z -compactication, then X I 2n+5 also admits a Z -compactication Add to Reading List Source URL: math.rutgers.edu Language: English - Date: 2014-02-26 15:52:38 Algebraic topology CW complex Polyhedron Covering space Homotopy Surgery theory Contractible space Fundamental group Degree of a continuous mapping Topology Mathematics Homotopy theory
58	Isaac Newton Institute for Mathematical Sciences New Contexts for Stable Homotopy Theory 2 September – 20 December 2002 Organisers: Professor JPC Greenlees (Sheffield), Professor HR Miller (MIT), Professor F Morel (Pa Add to Reading List Source URL: www.newton.ac.uk Language: English - Date: 2003-10-01 05:52:44 Homological algebra Fields Medalists Algebraic topology Cohomology theories Alexander Grothendieck Nicolas Bourbaki Motive Cohomology Motivic cohomology Abstract algebra Mathematics Topology
59	A Short Exposition of the Madsen-Weiss Theorem Allen Hatcher The theorem of Madsen and Weiss [MW] identifies the homology of mapping class groups of surfaces, in a stable dimension range, with the homology of a certain i Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2014-02-12 10:55:42 Geometric topology Homotopy theory Mapping class group Diffeomorphism Orientability Manifold Thom space Homotopy group Homotopy Topology Differential topology Algebraic topology
60	RIGIDITY THEOREMS IN STABLE HOMOTOPY THEORY CASE FOR SUPPORT 1. Track Records Andrew Baker was awarded a Ph.D. from the University of Manchester in[removed]He spent 11 years in a succession of postdoctoral positions in Can Add to Reading List Source URL: sarah-whitehouse.staff.shef.ac.uk Language: English - Date: 2006-10-20 07:01:03 Algebraic topology Morava K-theory Spectrum Cohomology Homotopy group Homotopy category Model category Adams spectral sequence Stable homotopy theory Topology Abstract algebra Homotopy theory

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