Classifying spaces and classifying topoi

Author(s)

• Moerdijk, Ieke

Bibliographic Information

Classifying spaces and classifying topoi

I. Moerdijk

（Lecture notes in mathematics, 1616）

Springer, c1995

• : pbk

Note

Includes bibliographical references (p. [89]-91) and index

Description and Table of Contents

Description

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.

Table of Contents

Background in topos theory.- Classifying topoi.- Geometric realization.- Comparison theorems.- Classifying spaces and classifying topoi.

by "Nielsen BookData"

Details

• NCID: BA26088088
• ISBN:
  • 3540603190
• LCCN: 95037122
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: 94 p.
• Size: 24 cm
• Classification:
  • NDC9 : 415.7
  • LCC : QA3
  • LCC : QA612.7
  • DC20 : 510 s
  • DC20 : 514/.24
  • NDC8 : 410.8
  • NDC8 : 415.7
• Subject Headings:
  • LCSH : Classifying spaces
  • LCSH : Toposes
  • LCSH : Grothendieck categories
• Parent Bibliography ID:
  • BA00146586