On suspensions of noncontractible compacta of trivial shape

Karimov, Umed; Repovš, Dušan

doi:10.1090/S0002-9939-99-04925-4

On suspensions of noncontractible compacta of trivial shape
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by Umed H. Karimov and Dušan Repovš PDF

Proc. Amer. Math. Soc. 127 (1999), 627-632 Request permission

Abstract:

We prove that: (i) There exists a 2-dimensional noncontractible cohomologically locally connected cell-like compactum whose reduced suspension is a contractible ANR; (ii) If the suspension $\Sigma X$ of a compactum $X$ is contractible, then $X$ is weakly contractible.

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