Details

Subject(s)

• Classifying spaces [Browse]

Series

• Lecture notes in mathematics (Berlin) ; Volume 1616. [More in this series]
• Lecture Notes in Mathematics ; Volume 1616

Summary note

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.

Notes

Bibliographic Level Mode of Issuance: Monograph

Source of description

Description based on print version record.

Language note

English

Contents

• Background in topos theory
• Classifying topoi
• Geometric realization
• Comparison theorems
• Classifying spaces and classifying topoi.

Show 2 more Contents items

ISBN

3-540-44912-4

OCLC

• 1066187801
• 793079387

Doi

• 10.1007/BFb0094441

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