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Universal coefficient theorem
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1	TOPOLOGICAL K-(CO-)HOMOLOGY OF CLASSIFYING SPACES OF DISCRETE GROUPS arXiv:1201.4763v1 [math.KT] 23 Jan 2012 ¨ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2012-06-03 05:50:24 Algebraic topology Homotopy theory Homological algebra Cohomology theories Homology theory Cohomology CW complex Universal coefficient theorem MayerVietoris sequence Equivariant cohomology Topological K-theory Classifying space
2	Saunders Mac Lane 1909–2005 A Biographical Memoir by Robion Kirby Add to Reading List Source URL: www.nasonline.org Language: English - Date: 2015-08-17 15:29:30 Guggenheim Fellows Homotopy theory Homological algebra Algebraic topology Group theory EilenbergMacLane space Saunders Mac Lane Samuel Eilenberg Group cohomology Cohomology Universal coefficient theorem Homology
3	Homology Computations for Mapping Class Groups, in particular for Γ03,1 Dissertation zur Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2014-02-20 07:06:51 Algebraic topology Homology theory Differential topology Mathematical physics Homotopy theory Homology Mapping class group Orientability CW complex Universal coefficient theorem Manifold Diffeomorphism
4	Title of Paper The author(s)’s name(s)∗ Abstract. This is to explain how to prepare a contribution for publication in an edited volume for the EMS Publishing HouseMathematics Subject Classification. Primary 11 Add to Reading List Source URL: www.7ecm.de Language: English - Date: 2015-10-19 04:30:58 Integral calculus Mean value theorem Universal coefficient theorem
5	THE COHOMOLOGY OF LIE GROUPS JUN HOU FUNG Abstract. We follow the computations in [2], [5], and [8] to deduce the cohomology rings of various Lie groups (SU (n), U (n), Sp(n) with Z-coefficients and SO(n), Spin(n), G2 , Add to Reading List Source URL: math.uchicago.edu Language: English - Date: 2012-10-06 16:49:22 Homological algebra Spectral sequences Group theory Homology theory Serre spectral sequence Steenrod algebra Eilenberg–Moore spectral sequence Cohomology Universal coefficient theorem Abstract algebra Algebra Algebraic topology
6	HISTORY OF HOMOLOGICAL ALGEBRA Charles A. Weibel Homological algebra had its origins in the 19th century, via the work of Riemann[removed]and Betti[removed]on “homology numbers,” and the rigorous development of Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2014-08-28 14:16:58 Homological algebra Homology theory Cohomology theories Group theory Universal coefficient theorem Group cohomology Singular homology Cohomology Homology Abstract algebra Topology Algebraic topology
7	NOTES ON TOR AND EXT Contents Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2011-04-08 22:44:46 Ext functor Projective module Hom functor Homology Chain complex Universal coefficient theorem Epimorphism CW complex D-module Abstract algebra Homological algebra Algebra
8	Cohomology is an algebraic variant of homology, the result of a simple dualization in the definition. Not surprisingly, the cohomology groups H i (X) satisfy axioms much like the axioms for homology, except that induced homomorphisms go in the opposite direction as a result of the dualization. The basic distinction between homology and cohomology is thus that cohomology groups are contravariant functors while Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-07-18 16:41:10 Algebra Algebraic topology Homology theory Cohomology Cohomology theories Homology Universal coefficient theorem Chain complex Sheaf Abstract algebra Homological algebra Topology
9	PDF Document Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-04-05 12:57:12 Homological algebra Homology theory Cohomology theories Group theory Universal coefficient theorem Group cohomology Cohomology Singular homology Homology Abstract algebra Topology Algebraic topology

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