On Star-K-Hurewicz Spaces
Abstract
A space $X$ is {\it
star-K-Hurewicz} if for each sequence $(\Cal U_n:n\in\Bbb N)$ of
open covers of $X$ there exists a sequence $(K_n:n\in N)$ of
compact subsets of $X$ such that for each $x\in X$, $x\in
St(K_n,\Cal U_n) $ for all but finitely many $n$. In this paper,
we investigate the relationship between star-K-Hurewicz spaces and
related spaces, and study topological properties of
star-K-Hurewicz spaces.
star-K-Hurewicz} if for each sequence $(\Cal U_n:n\in\Bbb N)$ of
open covers of $X$ there exists a sequence $(K_n:n\in N)$ of
compact subsets of $X$ such that for each $x\in X$, $x\in
St(K_n,\Cal U_n) $ for all but finitely many $n$. In this paper,
we investigate the relationship between star-K-Hurewicz spaces and
related spaces, and study topological properties of
star-K-Hurewicz spaces.
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