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Functor category
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191	Lecture 1: Motivating abstract nonsense Nilay Kumar May 28, 2014 This summer, the UMS lectures will focus on the basics of category theory. Rather dry and substanceless on its own (at least at first), category theory is Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2014-06-13 12:45:04 Homological algebra Homotopy theory Functor Galois connection Initial and terminal objects Coproduct Category Product Abelian category Category theory Abstract algebra Mathematics
192	Lecture 2: Categories, functors, and natural transformations I∗ Nilay Kumar June 4, 2014 (Meta)categories We begin, for the moment, with rather loose definitions, free from the technicalities of set theory. Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2014-06-13 12:45:04 Adjoint functors Natural transformation Functor Equivalence of categories Category Diagram Subcategory Morphism Isomorphism of categories Category theory Functors Abstract algebra
193	i i 10 MONADS AND ALGEBRAS Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2011-06-14 10:38:13 Monad Functor Limit Natural transformation Sheaf Grothendieck topology Kleisli category Universal property Adjoint functors Category theory Abstract algebra
194	Supplement: The Long Exact Homology Sequence and Applications S1. Chain Complexes In the supplement, we will develop some of the building blocks for algebraic topology. As we go along, we will make brief comments [in bra Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-06-06 11:19:27 Mathematics Snake lemma Exact sequence Injective module Derived functor Homology Singular homology Chain complex Exact functor Abstract algebra Homological algebra Category theory
195	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-09-09 10:06:26 Algebraic topology Homotopy category Nerve Whitehead theorem Homology Simplicial set Spectrum Triangulated category Functor Topology Abstract algebra Homotopy theory
196	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-02-18 10:48:43 Quadratic forms Sheaf theory Category theory Surgery theory Algebraic topology Grothendieck topology Functor Constructible universe Clifford algebra Abstract algebra Algebra Mathematics
197	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2010-04-27 15:04:12 Mathematics Spectrum CW complex Homotopy category Homotopy Acyclic model Landweber exact functor theorem Topology Homotopy theory Abstract algebra
198	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-02-11 11:00:00 Exact functor Limit Equivalence of categories Initial and terminal objects Universal property Grothendieck topology Subcategory Diagram Coproduct Category theory Abstract algebra Functors
199	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-09-09 10:06:26 Functors Homological algebra Algebraic topology Exact functor Quadratic form Subcategory Homology Calculus of functors Coproduct Category theory Abstract algebra Algebra
200	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-03-21 15:00:36 Sheaf theory Adjoint functors Functor Limit Subcategory Sheaf Grothendieck topology Equivalence of categories Natural transformation Abstract algebra Category theory Topology

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