[PDF.55oq] Classifying Spaces and Classifying Topoi (Lecture Notes in Mathematics)

Classifying Spaces and Classifying Topoi (Lecture Notes in Mathematics)

[PDF.dt80] Classifying Spaces and Classifying Topoi (Lecture Notes in Mathematics)

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 | #4260371 in Books |  Springer |  2009-02-22 | Original language:English | PDF # 1 |  9.25 x.25 x6.10l,.36 | File type: PDF | 98 pages

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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 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.
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