The hyperspace of finite subsets of a stratifiable space
Volume 147 / 1995
Fundamenta Mathematicae 147 (1995), 1-9
DOI: 10.4064/fm_1995_147_1_1_1_9
Abstract
It is shown that the hyperspace of non-empty finite subsets of a space $X$ is an ANR (an AR) for stratifiable spaces if and only if $X$ is a 2-hyper-locally-connected (and connected) stratifiable space.