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Synopsis
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.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date1995
- ISBN 10 3540603190
- ISBN 13 9783540603191
- BindingPaperback
- LanguageEnglish
- Number of pages108
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Classifying Spaces and Classifying Topoi. Lecture Notes in Mathematics 1616
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Classifying Spaces and Classifying Topoi
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ISBN 10: 3540603190
ISBN 13: 9783540603191
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Classifying Spaces and Classifying Topoi (Paperback or Softback)
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ISBN 10: 3540603190
ISBN 13: 9783540603191
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