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On suspensions of noncontractible compacta
of trivial shape

Authors: Umed H. Karimov and Dusan Repovs
Journal: Proc. Amer. Math. Soc. 127 (1999), 627-632
MSC (1991): Primary 54C56, 55N05; Secondary 54D05, 55P40
MathSciNet review: 1610792
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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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Additional Information

Umed H. Karimov
Affiliation: Institute of Mathematics, Tajik Academy of Sciences, Ul. Ainy 299, 734063 Dushanbe, Tajikistan

Dusan Repovs
Affiliation: Institute for Mathematics, Physics and Mechanics, University of Ljubljana, P. O. Box 2964, 1001 Ljubljana, Slovenia

Keywords: \v Cech cohomology, locally connected spaces, shape, suspension, contractibility
Received by editor(s): June 17, 1996
Received by editor(s) in revised form: May 29, 1997
Dedicated: Dedicated to the memory of the Teacher Hilol Karimov
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1999 American Mathematical Society

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