## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Remarks on star-K-Menger spaces

Yan-Kui Song

#### Abstract

A space $X$ is {\it star-K-Menger} if for each sequence $(\mathcal U_n:n\in\Bbb N)$ of open covers of $X$ there exists a sequence $(K_n:n\in N)$ of compact subsets of $X$ such that $\{St(K_n,\mathcal U_n):n\in\Bbb N\}$ is an open cover of $X$. In this paper, we construct an example of a Hausdorff star-Menger space that is not star-K-Menger which gives an answer to a question of Song [12], and continue to investigate topological properties of star-K-Menger spaces.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 5 (2015), 697-706.

Dates
First available in Project Euclid: 17 December 2015

https://projecteuclid.org/euclid.bbms/1450389241

Digital Object Identifier
doi:10.36045/bbms/1450389241

Mathematical Reviews number (MathSciNet)
MR3435075

Zentralblatt MATH identifier
1335.54028

#### Citation

Song, Yan-Kui. Remarks on star-K-Menger spaces. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 5, 697--706. doi:10.36045/bbms/1450389241. https://projecteuclid.org/euclid.bbms/1450389241