Overview

This monograph presents a treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a generalized geometric realization which applies to topoi, a weak homotopy equivalence 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.

Full Product Details

Author:   Izak Moerdijk
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1995 ed.
Volume:   1616
Dimensions:   Width: 15.50cm , Height: 0.50cm , Length: 23.50cm
Weight:   0.360kg
ISBN:  

9783540603191

ISBN 10:   3540603190
Pages:   98
Publication Date:   09 October 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

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

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