We characterize metric spaces whose hyperspaces of non-empty closed, bounded, compact or finite subsets, endowed with the Attouch-Wets topology, are absolute (neighborhood) retracts.
@article{bwmeta1.element.doi-10_2478_s11533-008-0022-z,
author = {Rostyslav Voytsitskyy},
title = {The ANR-property of hyperspaces with the Attouch-Wets topology},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {228-236},
zbl = {1144.54007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0022-z}
}
Rostyslav Voytsitskyy. The ANR-property of hyperspaces with the Attouch-Wets topology. Open Mathematics, Tome 6 (2008) pp. 228-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0022-z/
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