English

Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

Geometric Topology 2011-10-11 v1 General Topology

Abstract

We characterize metric spaces XX whose hyperspaces 2X2^X or Bd(X)Bd(X) of non-empty closed (bounded) subsets, endowed with the Hausdorff metric, are absolute [neighborhood] retracts.

Keywords

Cite

@article{arxiv.math/0509395,
  title  = {Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts},
  author = {T. Banakh and R. Voytsitskyy},
  journal= {arXiv preprint arXiv:math/0509395},
  year   = {2011}
}