Classifying spaces andclassifying topoi

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June 17, 2025 | History

Classifying spaces andclassifying topoi

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.

Publish Date
Publisher
Springer
Language
English
Pages
94

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Previews available in: English

Book Details


Edition Notes

Includes bibliographical references (p. - ) and index.

Published in
Berlin, London
Series
Lecture notes in mathematics -- 1616

Classifications

Dewey Decimal Class
510 s
Library of Congress
QA3, QA612.7, QA3 .L28 no. 1616, QA612.7 .L28 no. 1616, QA1-939

The Physical Object

Pagination
94p. ;
Number of pages
94

Edition Identifiers

Open Library
OL21843227M
Internet Archive
classifyingspace00moer
ISBN 10
3540603190
LCCN
95037122
OCLC/WorldCat
33102480
LibraryThing
8337175

Work Identifiers

Work ID
OL2956709W

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