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Homological algebra
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781	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
782	highertopoi March 10, 2012 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2012-03-10 18:23:37 Algebraic topology Homotopy theory Homological algebra Sheaf theory Group theory Sheaf Classifying space Cohomology Eilenberg–MacLane space Abstract algebra Topology Algebra
783	Wiad. Mat[removed], 185–197 © 2012 Polskie Towarzystwo Matematyczne Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2012-12-06 23:09:56 Algebraic topology Homology theory Homological algebra Group theory Samuel Eilenberg Cohomology Eilenberg–Moore spectral sequence Eilenberg–MacLane space Eilenberg–Steenrod axioms Abstract algebra Mathematics Topology
784	Lecture notes on motivic cohomology Carlo Mazza Vladimir Voevodsky Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2006-07-20 06:21:09 Algebraic geometry Homological algebra Cohomology theories Homology theory Motive Motivic cohomology Cohomology Sheaf Alexander Grothendieck Abstract algebra Algebraic topology Mathematics
785	REMINISCENCES OF GROTHENDIECK AND HIS SCHOOL LUC ILLUSIE, WITH SPENCER BLOCH, VLADIMIR DRINFELD, ET AL. Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2010-02-15 00:28:53 Homological algebra Sheaf theory Fields Medalists Algebraic geometry Scheme theory Alexander Grothendieck Sheaf Scheme Séminaire de Géométrie Algébrique du Bois Marie Abstract algebra Mathematics Algebra
786	Poincar´ e Duality Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2003-12-07 14:23:52 Algebraic topology Cohomology theories Homological algebra Differential forms Cohomology Cup product Mayer–Vietoris sequence Duality Sheaf Abstract algebra Algebra Homology theory
787	A Cohomological Viewpoint on Elementary School Arithmetic Daniel C. Isaksen The American Mathematical Monthly, Vol. 109, No. 9. (Nov., 2002), pp[removed]. Add to Reading List Source URL: www.math.wayne.edu Language: English - Date: 2007-12-11 21:11:10 Homological algebra Algebraic number theory Cohomology theories Algebraic structures Group cohomology Cohomology Abelian group Group extension Group homomorphism Abstract algebra Algebra Group theory
788	Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over Q Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2013-05-24 16:27:49 Group theory Homological algebra Cohomology theories Algebraic number theory Tate–Shafarevich group Étale cohomology Selmer group Elliptic curve Galois module Abstract algebra Algebra Number theory
789	Brit. J. Phil. Sci. 41 (I 9901, 3 5 I[removed]Printed in Great Britain The Uses and Abuses of the Add to Reading List Source URL: www.cwru.edu Language: English - Date: 2011-07-29 14:32:41 Homological algebra Nicolas Bourbaki Algebraic topology William Lawvere Topos General topology Colin McLarty Alexander Grothendieck Sheaf Category theory Mathematics Abstract algebra
790	Hamburger Beiträge zur Mathematik Nr[removed]April 2007 Add to Reading List Source URL: www.math.uni-hamburg.de Language: English - Date: 2007-04-17 05:21:40 Field theory Field extension Algebraic number field Prime number Group theory Homological algebra Group cohomology Wreath product Abstract algebra Algebra Algebraic number theory

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