Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts
classification
🧮 math.GT
math.GN
keywords
metricabsolutehyperspacesneighborhoodretractsspaceswhosebounded
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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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