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Topos

In mathematics, a Grothendieck topos (.mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}US: /ˈtɒpɒs/, UK: /ˈtoʊpoʊs, ˈtoʊpɒs/; plural topoi /ˈtɒpɔɪ/ or /ˈtoʊpɔɪ/, or toposes) is a category that behaves like…

Equivalent definitions, Examples & Homotopy theory of topoi

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Overview

Introduction

Equivalent definitions

Examples

Geometric morphisms

Ringed topoi

Homotopy theory of topoi

Advanced semantic analysis

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Map overview Semantic statistics

Topos

Nodes70
Edges69
Triples84
Avg. degree1.97
Density0.028571
Components1

How this topic connects Entity context

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Topos

Top relations

related to References · 24
Topos → AMS, Baez, Edwards, Elementary, Future, Hastings, Illusie, John, JSTOR, Luc, Mathematics, Notices, Past, PDF, Present, RMJ-1980-10-3-429, Rocky Mountain Journal, Steven Vickers, Summer, The
related to Topoi from ringed spaces · 12
Topos → Another, But, For, In, More, Moreover, Nisnevich, Open, The, To, Zar, Zariski
related to Homotopy theory of topoi · 10
Topos → Barry Mazur, Edwards, Ho, In, It's, Michael Artin, Noetherian, SS, The, Using
related to Introduction · 7
Topos → Alexander Grothendieck, An, Another, Grothendieck, Since, The, This
related to Ringed topoi · 7
Topos → Another, Deligne, Most, Mumford, R-module, R-modules, The
related to Category of sets and G-sets · 6
Topos → BG, Indeed, Similarly, Since, The, We
related to Equivalent definitions · 5
Topos → Giraud's, Grothendieck, Jean Giraud, Presh, There
related to Examples · 3
Topos → As, Giraud's, Note
related to Pathologies · 3
Topos → For, One, Pierre Deligne
related to Points of topoi · 3
Topos → Fx, If, These

Important terminology Word statistics

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Important terminology

category theory topoi displaystyle isbn mathematics sets geometric sheaves introduction logic set scheme grothendieck homotopy morphism may object press vol

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Toposis acategory C0.90text
Toposis apair0.90text
Toposrelated to Category of sets and G-setsThe0.60section
Toposrelated to Category of sets and G-setsIndeed0.60section
Toposrelated to Category of sets and G-setsSimilarly0.60section
Toposrelated to Category of sets and G-setsBG0.60section
Toposrelated to Category of sets and G-setsWe0.60section
Toposrelated to Category of sets and G-setsSince0.60section
Toposrelated to Equivalent definitionsGrothendieck0.60section
Toposrelated to Equivalent definitionsJean Giraud0.60section
Toposrelated to Equivalent definitionsThere0.60section
Toposrelated to Equivalent definitionsPresh0.60section

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