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arXiv · 1503.08575

The compact strong Z-set property in a hyperspace of finite subsets

Katsuhisa Koshino
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Abstract

Let X be a non-degenerate, connected, locally path-connected metrizable space and Fin(X) be the hyperspace consisting of non-empty finite subsets in X endowed with the Vietoris topology. In this paper, we show that every compact set in Fin(X) is a strong Z-set.

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Katsuhisa Koshino. 2015-03-30. The compact strong Z-set property in a hyperspace of finite subsets. https://arxiv.org/abs/1503.08575

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