Classifying spaces andclassifying topoi
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Word Count
23,500 words, Guess
Page Count
94 pages
Identifiers
- Open LibraryOL21843227M
- ISBN-103540603190
- OCLC Control Number33102480
- OCLC Control Numberclassifyingspace00moer
- Library of Congress Control Number95037122
and 1 more
- LibraryThing8337175
Classifications
- DDC510 s
- LCCQA3
- LCCQA612.7
Description
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.
Subjects
Topics
Series Statement
- Lecture notes in mathematics -- 1616
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