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

DOI:
https://doi.org/10.1090/S0002-9939-99-04925-4

MathSciNet review:
1610792

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Abstract | References | Similar Articles | Additional Information

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 of a compactum is contractible, then 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

Email:
umed@td.silk.org

**Dusan Repovs**

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

Email:
dusan.repovs@fmf.uni-lj.si

DOI:
https://doi.org/10.1090/S0002-9939-99-04925-4

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