The compact strong Z-set property in a hyperspace of finite subsets
General Topology
2015-03-31 v1
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.
Keywords
Cite
@article{arxiv.1503.08575,
title = {The compact strong Z-set property in a hyperspace of finite subsets},
author = {Katsuhisa Koshino},
journal= {arXiv preprint arXiv:1503.08575},
year = {2015}
}