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June 1997 Rays and the fixed point property in noncompact spaces
Tadeusz Dobrowolski, Witold Marciszewski
Tsukuba J. Math. 21(1): 97-112 (June 1997). DOI: 10.21099/tkbjm/1496163163

Abstract

We are concerned with the question of whether a noncompact space with a nice local structure contains a ray, i.e., a closed homeomorph of $[0,1)$. We construct rays in incomplete locally path connected spaces, and also, in noncompact metrizable convex sets; as a consequence these spaces lack the fixed point property. On the other hand, we give an example of a noncompact (nonmetrizable) convex subset $C$ of a locally convex topological vector space $E$ which has the fixed point property.

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Tadeusz Dobrowolski. Witold Marciszewski. "Rays and the fixed point property in noncompact spaces." Tsukuba J. Math. 21 (1) 97 - 112, June 1997. https://doi.org/10.21099/tkbjm/1496163163

Information

Published: June 1997
First available in Project Euclid: 30 May 2017

zbMATH: 0885.54026
MathSciNet: MR1467223
Digital Object Identifier: 10.21099/tkbjm/1496163163

Rights: Copyright © 1997 University of Tsukuba, Institute of Mathematics

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Vol.21 • No. 1 • June 1997
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