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Derived category
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41	DERIVED CATEGORIES OF SCHEMES Contents 1. Introduction 2. Conventions 3. Derived category of quasi-coherent modules Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-03 17:14:19 Algebra Sheaf theory Sheaf Coherent sheaf Derived functor Direct image functor Derived category Flat morphism Adjoint functors Abstract algebra Category theory Homological algebra
42	How analysis and topology interact in bivariant K-theory Ralf Meyer VASBI ICM Satellite Conference on K-theory and Noncommutative Geometry Add to Reading List Source URL: mate.dm.uba.ar Language: English - Date: 2006-09-11 06:47:49 Homotopy theory Homological algebra Fiber bundles K-theory Assembly map Homotopy Universal bundle Equivalence of categories Derived category Abstract algebra Topology Algebraic topology
43	HIGHER NONUNITAL QUILLEN K0 -THEORY, KK-DUALITIES AND APPLICATIONS TO TOPOLOGICAL T-DUALITIES SNIGDHAYAN MAHANTA Abstract. Quillen introduced a new K00 -theory of nonunital rings in [41] and showed that, under some assum Add to Reading List Source URL: wwwmath.uni-muenster.de Language: English - Date: 2014-05-13 03:15:15 Homological algebra Homotopy theory Adjoint functors Functor Equivalence of categories Homotopy category Derived category Model category KK-theory Abstract algebra Category theory Algebra
44	KK-theory as a triangulated category Notes from the lectures by Ralf Meyer Focused Semester on KK-Theory and its Applications M¨ unster 2009 Add to Reading List Source URL: wwwmath.uni-muenster.de Language: English - Date: 2010-05-12 09:14:10 Algebra Triangulated category Exact functor Homotopy category of chain complexes Mapping cone Derived category KK-theory Functor Adjoint functors Abstract algebra Homological algebra Category theory
45	Ext Groups and Ext Functors In this note we discuss the Hom and Ext functors and their connection with extensions of Abelian groups. The theory we develop has an analogue in the category of R-modules for any ring R; how Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2002-11-26 15:03:54 Algebra Ext functor Hom functor Functor Snake lemma Exact sequence Category of abelian groups Derived functor Approximately finite dimensional C*-algebra Abstract algebra Homological algebra Category theory
46	LOCAL COHOMOLOGY AND SUPPORT FOR TRIANGULATED CATEGORIES DAVE BENSON, SRIKANTH B. IYENGAR, AND HENNING KRAUSE To Lucho Avramov, on his 60th birthday. Abstract. We propose a new method for defining a notion of support fo Add to Reading List Source URL: www2.math.uni-paderborn.de Language: English - Date: 2008-02-12 06:08:25 Triangulated category Stable module category Injective module Derived category Grothendieck topology Sheaf Local cohomology D-module Adjoint functors Abstract algebra Algebra Homological algebra
47	NOTES ON CATEGORIES AND FUNCTORS These notes collect basic definitions and facts about categories and functors that have been mentioned in the Homological Algebra course. For further reading about category theory, consu Add to Reading List Source URL: www.math.ku.dk Language: English - Date: 2009-03-10 14:40:05 Additive categories Homological algebra Morphisms Abelian category Functor category Derived functor Functor Initial and terminal objects Natural transformation Category theory Abstract algebra Functors
48	Topics in algebraic geometry Lecture notes of an advanced graduate course Caucher Birkar ([removed]) Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2010-03-05 16:56:44 Homological algebra Sheaf theory Sheaf Derived functor Local cohomology Direct image functor Coherent sheaf Grothendieck topology Exact functor Abstract algebra Category theory Algebra
49	Triangulated categories and the Ziegler spectrum Grigory Garkusha and Mike Prest 2005 MIMS EPrint: [removed] Add to Reading List Source URL: eprints.ma.man.ac.uk Language: English - Date: 2006-06-01 12:03:36 Category theory Module theory Functors Injective module Adjoint functors Injective object Algebraically compact module Derived category Sheaf Abstract algebra Algebra Homological algebra
50	Introduction. Let f : X ---* Y be a continuous map of locally compact spaces. Let Sh(X), Sh(Y) denote the abelian categories of sheaves on X and Y, and D ( X ) , D(Y) denote the corresponding derived categories (maybe bo Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2008-09-06 15:24:36 Algebra Functors Sheaf theory Additive categories Triangulated category Sheaf Derived category Direct image functor Natural transformation Category theory Abstract algebra Homological algebra