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Classifying spaces and classifying topoi /

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This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the cla...

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Bibliographic Details
Main Author: Moerdijk, Ieke
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer, [1995]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1616.
Subjects:
Classifying spaces.
Toposes.
Grothendieck categories.
Espaces classifiants.
Topos (Mathématiques)
Grothendieck, Catégories de.
Categorieën (wiskunde)
Topoi (wiskunde)
Topos (mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Basic definitions
  • First examples
  • Some constructions of topoi
  • Cohomology and homotopy
  • Group actions
  • Diaconescu's theorem
  • The classifying topos of a topological category
  • Diaconescu's theorem for s-etale categories
  • Sheaves on simplicial spaces
  • Cohomology of classifying topoi
  • Some homotopy equivalences between classifying topoi
  • Geometric realization of simplicial spaces
  • Classifying spaces
  • Geometric realization by cosimplicial topoi
  • Sheaves and geometric realization
  • Discrete categories
  • s-Etale categories
  • Segal's theorem on [Gamma][superscript q]
  • Comparison for topological categories.