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Remark on a theorem of E.H. Brown

Published online by Cambridge University Press:  17 April 2009

Michael D. Alder
Michael D. Alder
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
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Abstract

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The proliferation of classifying spaces in recent years owes much to the theorem of Edgar H. Brown, Jr on the representability of homotopy functors. Since the theorem only gives a representation for functors defined on the category of spaces having the homotopy type of a CW complex, there is some interest in finding conditions under which the domain category may be enlarged. It appears that a version of the theorem holds for any small full subcategory of Htp, the category of topological spaces and homotopy classes of continuous maps, but that the resulting classifying space is generally intractable.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 1 , August 1973 , pp. 55 - 60
Copyright
Copyright © Australian Mathematical Society 1973

References

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