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Grothendieck topology
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51	SHEAVES ON SPACES Contents 1. Introduction 2. Basic notions 3. Presheaves Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:27 Topology Sheaf Gluing axiom Stalk Grothendieck topology Constant sheaf Functor Initial and terminal objects Presheaf Category theory Abstract algebra Sheaf theory
52	SITES AND SHEAVES Contents. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:29 Sheaf theory Functors Algebraic geometry Homological algebra Sheaf Gluing axiom Grothendieck topology Functor Topos Category theory Abstract algebra Mathematics
53	Continuity in type theory Mart´ın H¨ otzel Escard´ o University of Birmingham, UK Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2014-07-02 11:28:23 General topology Topos Baire space Continuous function Space Ordinal number Cantor space Grothendieck topology Constructible universe Topology Mathematics Sheaf theory
54	STACKS Contents 1. Introduction 2. Presheaves of morphisms associated to fibred categories 3. Descent data in fibred categories Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:29 Fibred category Functor Sheaf Algebraic stack Grothendieck topology Subcategory Morphism Category Groupoid Abstract algebra Category theory Mathematics
55	SIMPLICIAL METHODS Contents 1. Introduction 2. The category of finite ordered sets 3. Simplicial objects Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:37 Topology Homotopy theory Algebraic topology Simplicial set Sheaf Kan fibration Grothendieck topology Functor Universal property Abstract algebra Category theory Mathematics
56	HYPERCOVERINGS Contents 1. Introduction 2. Hypercoverings 3. Acyclicity Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-22 10:42:40 Algebraic topology Homological algebra Functors Sheaf theory Sheaf Grothendieck topology Gluing axiom Functor Initial and terminal objects Abstract algebra Category theory Mathematics
57	MODULES ON SITES Contents. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:44 Sheaf theory Sheaf Gluing axiom Grothendieck topology Topos Stalk Functor Initial and terminal objects Ringed space Category theory Abstract algebra Topology
58	SIMPLICIAL SPACES Contents 1. Introduction 2. Simplicial topological spaces 3. Simplicial sites and topoi Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:21 Sheaf theory Algebraic topology Functors Homological algebra Sheaf Topos Grothendieck topology Natural transformation Simplicial set Abstract algebra Category theory Topology
59	COHOMOLOGY ON SITES Contents. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:47 Homological algebra Sheaf theory Algebraic topology Functors Cohomology theories Sheaf Derived functor Grothendieck topology Exact functor Abstract algebra Category theory Algebra
60	´ ETALE COHOMOLOGY Contents 1. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:10 Topology Sheaf Étale cohomology Grothendieck topology Étale topology Direct image functor Topos Étale morphism Gluing axiom Abstract algebra Category theory Sheaf theory