Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

Details Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

2005-09-18

arxiv.org/abs/math/0509395v1

Topology Appl. Vol.154, No.10, (2007), 2009-2025

Mathematics

Geometric Topology

Scientific paper

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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