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Classifying spaces and classifying topoi /

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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 cla...

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Bibliographic Details
Main Author: Moerdijk, Ieke
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer, [1995]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1616.
Subjects:
Classifying spaces.
Toposes.
Grothendieck categories.
Espaces classifiants.
Topos (Mathématiques)
Grothendieck, Catégories de.
Categorieën (wiskunde)
Topoi (wiskunde)
Topos (mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (94 pages)
Bibliography:Includes bibliographical references (pages 89-91) and index.
ISBN:9783540449126 (electronic bk.)
3540449124 (electronic bk.)
ISSN:0075-8434 ;