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Some generalized metric properties on hyperspaces with the Vietoris topology
[article]
2019
arXiv
pre-print
We study the heredity of the classes of generalized metric spaces (for example, spaces with a σ-hereditarily closure-preserving k-network, spaces with a point-countable base, spaces with a base of countable order, spaces with a point-regular base, Nagata-spaces, c-semi-stratifiable spaces, γ-spaces, semi-metrizable spaces) to the hyperspaces of nonempty compact subsets and finite subsets with the Vietoris topology.
arXiv:1911.12940v1
fatcat:suocp52burhgnoamnk6o5yarw4