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A¹ homotopy theory
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161	Contemporary Mathematics What we still don’t know about loop spaces of spheres Douglas C. Ravenel University of Rochester Abstract. We describe a program for computing the Morava K-theory of Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2004-04-27 12:27:38 Algebraic topology Algebra Homotopy groups of spheres Steenrod algebra Eilenberg–MacLane space Spectral sequence Spectrum EHP spectral sequence Eilenberg–Moore spectral sequence Abstract algebra Topology Homotopy theory
162	CURRICULUM VITAE Marshall M. Cohen Born: 1937 Degrees: B. S. in Mathematics, University of Chicago 1959 Add to Reading List Source URL: www.morgan.edu Language: English - Date: 2014-11-20 10:23:33 Surgery theory Differential topology Homotopy theory Whitehead torsion CW complex Degree of a continuous mapping Dehn twist Topological space Manifold Topology Algebraic topology Geometric topology
163	ROBERT W. THOMASON 1952–1995 Charles A. Weibel Like many of his colleagues, Bob Thomason hated to waste energy on trivial Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-04-05 12:54:37 Homotopy theory Algebraic topology Algebraic geometry Homological algebra Spectrum Algebraic K-theory Homotopy group Homology theory CW complex Abstract algebra Topology Mathematics
164	ARITHMETIC QUOTIENTS OF THE COMPLEX BALL AND A CONJECTURE OF LANG MLADEN DIMITROV AND DINAKAR RAMAKRISHNAN Introduction n be the n-dimensional complex hyperbolic space, repreFor any integer n > 1, let HC Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-10-03 19:34:03 Modular forms Algebraic topology Homotopy theory Differential topology Orbifold Congruence subgroup Modular curve Covering space Symbol Abstract algebra Topology Mathematics
165	Stacks in Representation Theory What is a continuous representation of an algebraic group ? Joseph Bernstein October 2, 2014 Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2014-10-03 00:19:22 Category theory Homotopy theory Algebraic structures Algebraic topology Symmetry Groupoid Algebraic stack Group action Sheaf Abstract algebra Algebra Mathematics
166	BOOK REVIEWS 375 References 1. N. S. Bakhvalov, On the convergence of a relaxation method with natural constraints on the Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-03-29 15:28:21 Algebraic topology Differential topology Homotopy theory Borel conjecture Cobordism Homotopy groups of spheres H-cobordism Homotopy sphere Manifold Topology Surgery theory Geometric topology
167	A NOTE ON FREIMAN MODELS 1. introduction Let G be a group (not necessarily abelian), and let s > 2 be an integer. Let A ⊆ G be a set, and let π : A → G0 be a map. We say that π is a Freiman s-homomorphism if, for Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2013-08-05 12:58:16 Homotopy theory Microsoft Office SYmbolic LinK
168	Contents[removed]January 2: On GLn (K) where K is a local field of characteristic p. Compute H ∗ (GLn (K), F` ), where ` 6= p. January 4: Continuous group actions, associated nerves and cochain complexes. January 2 Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:26:38 Mathematics Algebraic topology Homotopy group Algebraic K-theory Nerve Fundamental group Simplicial set CW complex Characteristic class Topology Abstract algebra Homotopy theory
169	Contents[removed]January 3: Gersten’s conjecture: If A is a discrete valuation ring with residue field k, then the transfer map K∗ (k) → K∗ (A) is zero. January 6: Exact categories with a resolving full exact Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:27:06 Algebraic topology Algebraic geometry Homotopy theory Projective geometry Differential topology Grassmannian Algebraic K-theory K-theory Vector bundle Abstract algebra Topology Algebra
170	Week 1 (due April[removed]As was explained during the winter quarter, to any line bundle (complex vector bundle of rank one) on a manifold M one can associate its first Chern class which takes values in H 2 (M, Z), and two Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-04-01 22:32:01 Algebraic topology Differential topology Characteristic classes Homotopy theory Chern class Line bundle Vector bundle Stiefel–Whitney class Circle bundle Topology Abstract algebra Mathematics