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On Homotopy Domination

Published online by Cambridge University Press:  20 November 2018

Sławomir Kwasik
Sławomir Kwasik*
Affiliation:
Mathematisches Institut, Universität Heidelberg, 6900 Heidelberg, Im Neuenheimer Feld 288, West Germany
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Abstract

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A short proof of the following result of Bernstein and Ganea is given:

“Let X be a topological space which is homotopy dominated by a closed connected n-dimensional manifold M. If Hn (X; Z2 ) ≠ 0 then X has the homotopy type of M”.

It is also shown that the manifold in this theorem can be replaced by a Poincaré complex.

Keywords

55P1057P10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984 , pp. 448 - 451
Copyright
Copyright © Canadian Mathematical Society 1984

References

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