Classifying Spaces and Classifying Topoi / Edition 1

Classifying Spaces and Classifying Topoi / Edition 1

by Izak Moerdijk
     
 

ISBN-10: 3540603190

ISBN-13: 9783540603191

Pub. Date: 11/10/1995

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540603191
Publisher:
Springer Berlin Heidelberg
Publication date:
11/10/1995
Series:
Lecture Notes in Mathematics Series, #1616
Edition description:
1995
Pages:
94
Product dimensions:
6.14(w) x 9.21(h) x 0.22(d)

Table of Contents

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

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