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On Homotopy Domination
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1984
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