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2004•Proceedings of the American Mathematical SocietyOpen access

On contractible polyhedra that are not simply contractible

Umed H. Karimov, Dusan D. Repovs

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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.

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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.

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Available 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.

Key concepts: Contractible space, Polyhedron, Combinatorics, Mathematics

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