LEADER 02445nam 2200589 450 001 996466660703316 005 20220910212956.0 010 $a3-540-44912-4 024 7 $a10.1007/BFb0094441 035 $a(CKB)1000000000437215 035 $a(SSID)ssj0000321856 035 $a(PQKBManifestationID)12133498 035 $a(PQKBTitleCode)TC0000321856 035 $a(PQKBWorkID)10299198 035 $a(PQKB)11769663 035 $a(DE-He213)978-3-540-44912-6 035 $a(MiAaPQ)EBC5585904 035 $a(Au-PeEL)EBL5585904 035 $a(OCoLC)1066187801 035 $a(MiAaPQ)EBC6842385 035 $a(Au-PeEL)EBL6842385 035 $a(OCoLC)793079387 035 $a(PPN)155237608 035 $a(EXLCZ)991000000000437215 100 $a20220910d1995 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aClassifying spaces and classifying topoi /$fIzak Moerdijk 205 $a1st ed. 1995. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (X, 98 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1616 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-60319-0 327 $aBackground in topos theory -- Classifying topoi -- Geometric realization -- Comparison theorems -- Classifying spaces and classifying topoi. 330 $aThis monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory. 410 0$aLecture notes in mathematics (Berlin) ;$vVolume 1616. 606 $aClassifying spaces 615 0$aClassifying spaces. 676 $a514.224 700 $aMoerdijk$b Ieke$059494 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466660703316 996 $aClassifying spaces and classifying topoi$978146 997 $aUNISA