Remarks on Star-Hurewicz Spaces

Volume 61 / 2013

Yan-Kui Song 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.

Authors

  • Yan-Kui SongInstitute of Mathematics
    School of Mathematical Sciences
    Nanjing Normal University
    Nanjing 210023, P.R. China
    e-mail

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