On the tangency of sets in generalized metric spaces for certain functions of the class $F_{\rho }^{*}$

T. Konik

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We study some generalized metric properties on the hyperspace $ℱ (X)$ of finite subsets of a space $X$ endowed with the Vietoris topology. We prove that $X$ has a point-star network consisting of (countable) $w c s$ -covers if and only if so does $ℱ (X)$ . Moreover, $X$ has a sequence of $w c s$ -covers with property $(P)$ which is a point-star network if and only if so does $ℱ (X)$ , where $(P)$ is one of the following properties: point-finite, point-countable, compact-finite, compact-countable, locally finite, locally countable....

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Displaying similar documents to “On the tangency of sets in generalized metric spaces for certain functions of the class F ρ * ”

Displaying similar documents to “On the tangency of sets in generalized metric spaces for certain functions of the class $F_{ρ}^{*}$ ”