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Every étendue comes from a local equivalence relation

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Publication:1208192
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DOI10.1016/0022-4049(92)90118-YzbMath0779.18005MaRDI QIDQ1208192

Anders Kock, Ieke Moerdijk

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

local equivalence relationglobal sectionlocalic toposétenduetopos of sheaves on a locale


Mathematics Subject Classification ID

Topoi (18B25)


Related Items (3)

Spaces with local equivalence relations, and their monodromy ⋮ Lie local subgroupoids and their holonomy and monodromy Lie groupoids ⋮ Local subgroupoids. II: Examples and properties.



Cites Work

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  • Atomic toposes
  • Molecular toposes
  • Toposes as homotopy groupoids
  • Spaces with local equivalence relations, and their monodromy
  • An elementary proof of the descent theorem for Grothendieck toposes
  • Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
  • Colimits of accessible categories
  • An extension of the Galois theory of Grothendieck
  • The Classifying Topos of a Continuous Groupoid. I
  • Morita equivalence for continuous groups
  • A Godement theorem for locales


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