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 cla...

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Detalles Bibliográficos
Autor Principal: Moerdijk, Ieke, 1958-...., mathématicien
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1616
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Edition sous un autre format:• Classifying spaces and classifying topoi, I. Moerdijk, 1995, Berlin, Springer, 1 volume (94 pages), Lecture notes in mathematics, 3-540-60319-0
• Classifying Spaces and Classifying Topoi, Texte imprimé, 9783662189870
Descripción
Résumé: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.
descrición da copia:Archives Springer e-books (Licence nationale)
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ISBN:9783540449126 (PDF)
ISSN:1617-9692
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