Some generalized metric properties on hyperspaces with the Vietoris topology

Autor:	Lin, Fucai, Shen, Rongxin, Liu, Chuan
Rok vydání:	2019
Předmět:	Mathematics - General Topology 54B20 54D20
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
Externí odkaz:	http://arxiv.org/abs/1911.12940 Zobrazit plný text záznamu View this record from Arxiv