Classifying Spaces and Classifying Topoi (Lecture Notes in Mathematics, 1616) - Softcover

Moerdijk, Izak

 
9783540603191: Classifying Spaces and Classifying Topoi (Lecture Notes in Mathematics, 1616)
Softcover
ISBN 10: 3540603190 ISBN 13: 9783540603191
Publisher: Springer, 1995

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1995
Language
English
ISBN 10 
3540603190
ISBN 13 
9783540603191
Binding
Paperback
Number of pages
108