Beer and Di Concilio [4] have given necessary and sufficient conditions for a two-sided Attouch- Wets topology to contain another on the hyperspace of non-empty closed subsets of a metrizable space as determined by metrics compatible with the topology. In the present paper, we characterize comparability of lower Attouch-Wets topologies as determined by compatible metrics.
Comparability of lower Attouch-Wets topologies
Rosa, Marco;Vitolo, Paolo
2017-01-01
Abstract
Beer and Di Concilio [4] have given necessary and sufficient conditions for a two-sided Attouch- Wets topology to contain another on the hyperspace of non-empty closed subsets of a metrizable space as determined by metrics compatible with the topology. In the present paper, we characterize comparability of lower Attouch-Wets topologies as determined by compatible metrics.File in questo prodotto:
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