On suspensions of noncontractible compacta of trivial shape

Authors
Karimov, UH Repovs, D
Citation
Uh. Karimov et D. Repovs, On suspensions of noncontractible compacta of trivial shape, P AM MATH S, 127(2), 1999, pp. 627-632
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
2
Year of publication
1999
Pages
627 - 632
Database
ISI
SICI code
0002-9939(199902)127:2<627:OSONCO>2.0.ZU;2-#
Abstract
We prove that: (i) There exists a 2-dimensional noncontractible cohomologic ally locally connected cell-like compactum whose reduced suspension is a co ntractible ANR; (ii) If the suspension CX of a compactum X is contractible, then X is weakly contractible.