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Record Nr. |
UNISA996466660703316 |
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Autore |
Moerdijk Ieke |
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Titolo |
Classifying spaces and classifying topoi / / Izak Moerdijk |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer-Verlag, , [1995] |
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©1995 |
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ISBN |
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Edizione |
[1st ed. 1995.] |
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Descrizione fisica |
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1 online resource (X, 98 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; Volume 1616 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Background in topos theory -- Classifying topoi -- Geometric realization -- Comparison theorems -- Classifying spaces and classifying topoi. |
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Sommario/riassunto |
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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. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory. |
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