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arXiv math/0509395math.GTmath.GN
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Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

T. Banakh, R. Voytsitskyy

英文摘要:

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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