It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.
@article{bwmeta1.element.doi-10_2478_s11533-012-0137-0,
author = {Valentin Gutev},
title = {Consonance and Cantor set-selectors},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {341-348},
zbl = {1262.54004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0137-0}
}
Valentin Gutev. Consonance and Cantor set-selectors. Open Mathematics, Tome 11 (2013) pp. 341-348. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0137-0/
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