Classifying spaces andclassifying topoi - Info and Reading Options
By Ieke Moerdijk
"Classifying spaces andclassifying topoi" was published by Springer in 1995 - Berlin, the book is classified in bibliography genre, it has 94 pages and the language of the book is English.
“Classifying spaces andclassifying topoi” Metadata:
- Title: ➤ Classifying spaces andclassifying topoi
- Author: Ieke Moerdijk
- Language: English
- Number of Pages: 94
- Publisher: Springer
- Publish Date: 1995
- Publish Location: Berlin
- Genres: bibliography
- Dewey Decimal Classification: 510 s510 s 514/.24
- Library of Congress Classification: QA3QA612.7QA3 .L28 no. 1616QA612.7 .L28 no. 1616QA1-939
“Classifying spaces andclassifying topoi” Subjects and Themes:
- Subjects: ➤ Toposes - Grothendieck categories - Classifying spaces - Topology - Mathematics - K-theory - Algebraic topology
Edition Specifications:
- Number of Pages: 94 p. ill. ; 24 cm.
- Pagination: 94p. ;
Edition Identifiers:
- The Open Library ID: OL21843227M - OL2956709W
- Online Computer Library Center (OCLC) ID: 33102480
- Library of Congress Control Number (LCCN): 95037122 - ^^^95037122^
- ISBN-13: 9783540603191
- ISBN-10: 3540603190
- All ISBNs: 3540603190 - 9783540603191
AI-generated Review of “Classifying spaces andclassifying topoi”:
"Classifying spaces andclassifying topoi" Table Of Contents:
- 1- Basic definitions
- 2- First examples
- 3- Some constructions of topoi
- 4- Cohomology and homotopy
- 5- Group actions
- 6- Diaconescu's theorem
- 7- The classifying topos of a topological category
- 8- Diaconescu's theorem for s
- 9- tale categories
- 10- Sheaves on simplicial spaces
- 11- Cohomology of classifying topoi
- 12- Some homotopy equivalences between classifying topoi
- 13- Geometric realization of simplicial spaces
- 14- Classifying spaces
- 15- Geometric realization by cosimplicial topoi
- 16- Sheaves and geometric realization
- 17- Discrete categories
- 18- s
- 19- tale categories
- 20- Segal's theorem on [Gamma][superscript q]
- 21- Comparison for topological categories.
"Classifying spaces andclassifying topoi" Description:
The Open Library:
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.
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- Harvard University Library: Location: Cabot Science Library, Harvard University - Birkhoff Library, Harvard University - Shelf Numbers: QA3 .L28 no. 1616 - N 108 no.1616
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