Remarks on Star-Hurewicz Spaces
Volume 61 / 2013
Bulletin Polish Acad. Sci. Math. 61 (2013), 247-255
MSC: 54D20, 54B05, 54B10.
DOI: 10.4064/ba61-3-6
Abstract
A space $X$ is star-Hurewicz if for each sequence $(\mathcal U_n:n\in \mathbb N)$ of open covers of $X$ there exists a sequence $(\mathcal V_n:n\in \mathbb N)$ such that for each $n$, $\mathcal V_n$ is a finite subset of $\mathcal U_n$, and for each $x\in X$, $x\in \mathrm {St}(\bigcup \mathcal V_n,\mathcal U_n)$ for all but finitely many $n$. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.
