Some generalized metric properties on hyperspaces with the Vietoris topology
Autor: | Lin, Fucai, Shen, Rongxin, Liu, Chuan |
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Rok vydání: | 2019 |
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Druh dokumentu: | Working Paper |
Popis: | We study the heredity of the classes of generalized metric spaces (for example, spaces with a $\sigma$-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, $\gamma$-spaces, semi-metrizable spaces) to the hyperspaces of nonempty compact subsets and finite subsets with the Vietoris topology. Comment: 18 |
Databáze: | arXiv |
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