Some generalized metric properties on hyperspaces with the Vietoris topology [article]

Fucai Lin, Rongxin Shen, Chuan Liu
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