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Intrinsic characterizations of C-realcompact spaces

Intrinsic characterizations of C-realcompact spaces

$c$-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41(8), 2018, 1135-1167. We offer a characterization of these spaces $X$ via $c$-stable family of closed sets in $X$ by showing that $X$ is $c$-realcompact if and only if each $c$-stable family of closed sets in $X$ with finite …