© 1995

Classifying Spaces and Classifying Topoi

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1616)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Izak Moerdijk
    Pages 1-4
  3. Izak Moerdijk
    Pages 5-19
  4. Izak Moerdijk
    Pages 21-55
  5. Izak Moerdijk
    Pages 57-76
  6. Izak Moerdijk
    Pages 77-88
  7. Back Matter
    Pages 89-94

About this book


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.


Algebraic topology Homotopy algebra sheaves topology

Bibliographic information

  • Book Title Classifying Spaces and Classifying Topoi
  • Authors Izak Moerdijk
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-60319-1
  • eBook ISBN 978-3-540-44912-6
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 98
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics K-Theory
    Algebraic Topology
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