TY  - BOOK
AU  - Moerdijk,Izak
ED  - SpringerLink (Online service)
TI  - Classifying Spaces and Classifying Topoi
T2  - Lecture Notes in Mathematics,
SN  - 9783540449126
AV  - QA612.33 
U1  - 512.66 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - K-theory
KW  - Algebraic topology
KW  - K-Theory
KW  - Algebraic Topology
N1  - Background in topos theory -- Classifying topoi -- Geometric realization -- Comparison theorems -- Classifying spaces and classifying topoi
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0094441
ER  -