On contractible polyhedra that are not simply contractible-Reference-Cited by-同舟云学术

On contractible polyhedra that are not simply contractible

Published:2004-02-12 Issue:7 Volume:132 Page:2159-2162
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Karimov Umed,Repovš Dušan

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-07/S0002-9939-04-07241-7/S0002-9939-04-07241-7.pdf

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1. A construction of noncontractible simply connected cell-like two-dimensional Peano continua;Fundamenta Mathematicae;2007