arXiv:1503.08575 Abstract | arXiv Analytics

arXiv:1503.08575 [math.GN]Abstract References Reviews Resources

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

Published 2015-03-30Version 1

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.

Categories: math.GN

Subjects: 54B20, 54F65, 57N20

Keywords: compact strong z-set property, hyperspace, non-empty finite subsets, vietoris topology, compact set

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