The classifying space of a crossed complex-Reference-Cited by-同舟云学术

The classifying space of a crossed complex

Published:1991-07 Issue:1 Volume:110 Page:95-120
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Brown Ronald,Higgins Philip J.

Abstract

The aim of this paper is to show one more facet of the role of crossed complexes as generalisations of both groups (or groupoids) and of chain complexes. We do this by defining and establishing the main properties of a classifying space functor B: from the category of crossed complexes to the category of spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference50 articles.

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4. Spaces with finitely many non-trivial homotopy groups

5. [3] Baues H. J. . The homotopy type of 4-dimensional CW-complexes. Preprint, Max-Planck-Institüt, Bonn (1986).

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