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Classifying Spaces and Classifying Topoi / by Izak Moerdijk
(Lecture Notes in Mathematics. ISSN:16179692 ; 1616)

1st ed. 1995.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1995
本文言語 英語
大きさ X, 98 p : online resource
冊子体 Classifying spaces and classifying topoi / I. Moerdijk. ; 1616
著者標目 *Moerdijk, Izak author
SpringerLink (Online service)
件 名 LCSH:K-theory
LCSH:Algebraic topology
FREE:K-Theory
FREE:Algebraic Topology
一般注記 Background in topos theory -- Classifying topoi -- Geometric realization -- Comparison theorems -- Classifying spaces and classifying 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
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データ種別 電子ブック
分 類 LCC:QA612.33
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書誌ID 4000109122
ISBN 9783540449126

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