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On contractible polyhedra that are not simply contractible |
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| Authors: | Umed H Karimov Dusan Repovs |
| Institution: | Institute of Mathematics, Academy of Sciences Tajikistan, Ul. Ainy $299^{A}$, Dushanbe, Tajikistan 734063 ; Institute of Mathematics, Physics and Mechanics, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia 1001 |
| Abstract: | In answer to a question of Michael, Dydak, Segal and Spiez 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. |
| Keywords: | Absolute retract polyhedron strong retract strict contractibility simple contractibility collapsibility |
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