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
Full-text PDF Free Access
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
