On contractible polyhedra that are not simply contractible
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- by Umed H. Karimov and Dušan Repovš PDF
- Proc. Amer. Math. Soc. 132 (2004), 2159-2162 Request permission
Abstract:
In answer to a question of Michael, Dydak, Segal and Spież have constructed a contractible polyhedron that is not strictly contractible. In the present note we prove a related result; by using alternative methods we show that there exist contractible polyhedra that are not simply (hence not strictly) contractible.References
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Additional Information
- Umed H. Karimov
- Affiliation: Institute of Mathematics, Academy of Sciences Tajikistan, Ul. Ainy $299^{A}$, Dushanbe, Tajikistan 734063
- Email: umed-karimov@mail.ru
- Dušan Repovš
- Affiliation: Institute of Mathematics, Physics and Mechanics, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia 1001
- MR Author ID: 147135
- ORCID: 0000-0002-6643-1271
- Email: dusan.repovs@uni-lj.si
- Received by editor(s): April 30, 2002
- Received by editor(s) in revised form: January 28, 2003, and April 4, 2003
- Published electronically: February 12, 2004
- Communicated by: Alan Dow
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2159-2162
- MSC (2000): Primary 55M15; Secondary 54G20
- DOI: https://doi.org/10.1090/S0002-9939-04-07241-7
- MathSciNet review: 2053990