Classifying Spaces and Classifying Topoi e-bog
223,05 DKK
(inkl. moms 278,81 DKK)
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 answe...
E-bog
223,05 DKK
Forlag
Springer
Udgivet
14 november 2006
Genrer
PBPD
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9783540449126
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 "e;classifying"e; spaces.The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.