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On suspensions of noncontractible compacta of trivial shape
Author(s):
Umed
H.
Karimov;
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  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:
10.1090/S0002-9939-99-04925-4
PII:
S 0002-9939(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
Copyright of article:
Copyright
1999,
American Mathematical Society
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