Classifying spaces and classifying topoi / Izak Moerdijk.

Author
Moerdijk, Ieke [Browse]
Format
Book
Language
English
Εdition
1st ed. 1995.
Published/​Created
  • Berlin, Heidelberg : Springer-Verlag, [1995]
  • ©1995
Description
1 online resource (X, 98 p.)

Details

Subject(s)
Series
  • Lecture notes in mathematics (Berlin) ; Volume 1616. [More in this series]
  • Lecture Notes in Mathematics ; Volume 1616
Summary note
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 classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
Notes
Bibliographic Level Mode of Issuance: Monograph
Source of description
Description based on print version record.
Language note
English
Contents
  • Background in topos theory
  • Classifying topoi
  • Geometric realization
  • Comparison theorems
  • Classifying spaces and classifying topoi.
ISBN
3-540-44912-4
OCLC
  • 1066187801
  • 793079387
Doi
  • 10.1007/BFb0094441
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