02445nam 2200589 450 99646666070331620220910212956.03-540-44912-410.1007/BFb0094441(CKB)1000000000437215(SSID)ssj0000321856(PQKBManifestationID)12133498(PQKBTitleCode)TC0000321856(PQKBWorkID)10299198(PQKB)11769663(DE-He213)978-3-540-44912-6(MiAaPQ)EBC5585904(Au-PeEL)EBL5585904(OCoLC)1066187801(MiAaPQ)EBC6842385(Au-PeEL)EBL6842385(OCoLC)793079387(PPN)155237608(EXLCZ)99100000000043721520220910d1995 uy 0engurnn|008mamaatxtccrClassifying spaces and classifying topoi /Izak Moerdijk1st ed. 1995.Berlin, Heidelberg :Springer-Verlag,[1995]©19951 online resource (X, 98 p.) Lecture Notes in Mathematics ;Volume 1616Bibliographic Level Mode of Issuance: Monograph3-540-60319-0 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.Lecture notes in mathematics (Berlin) ;Volume 1616.Classifying spacesClassifying spaces.514.224Moerdijk Ieke59494MiAaPQMiAaPQMiAaPQBOOK996466660703316Classifying spaces and classifying topoi78146UNISA