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

2015/03/30 by Koshino, Katsuhisa
#54B20 #54F65 #57N20 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1503.08575

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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