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Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

T. Banakh·R. Voytsitskyy
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Abstract

We characterize metric spaces $X$ whose hyperspaces $2^X$ or $Bd(X)$ of non-empty closed (bounded) subsets, endowed with the Hausdorff metric, are absolute [neighborhood] retracts.

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T. Banakh, R. Voytsitskyy. 2005-09-18. Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts. https://arxiv.org/abs/math/0509395

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