Classifying spaces andclassifying topoi - Info and Reading Options
By Ieke Moerdijk
“Classifying spaces andclassifying topoi” Metadata:
- Title: ➤ Classifying spaces andclassifying topoi
- Author: Ieke Moerdijk
“Classifying spaces andclassifying topoi” Subjects and Themes:
- Subjects: ➤ Toposes - Grothendieck categories - Classifying spaces - Topology - Mathematics - K-theory - Algebraic topology
Edition Identifiers:
- The Open Library ID: OL2956709W
AI-generated Review of “Classifying spaces andclassifying topoi”:
"Classifying spaces andclassifying topoi" Description:
The Open Library:
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.
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