On Homotopy Domination
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 448-451
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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.
Kwasik, Sławomir. On Homotopy Domination. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 448-451. doi: 10.4153/CMB-1984-069-1
@article{10_4153_CMB_1984_069_1,
author = {Kwasik, S{\l}awomir},
title = {On {Homotopy} {Domination}},
journal = {Canadian mathematical bulletin},
pages = {448--451},
year = {1984},
volume = {27},
number = {4},
doi = {10.4153/CMB-1984-069-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-069-1/}
}
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