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The hyperspace of finite subsets of a stratifiable space

Robert Cauty, Bao-Lin Guo, Katsuro Sakai (1995)

Fundamenta Mathematicae

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.

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