Abstract
A space $X$ is called (discretely) star-Lindelöf if for every open cover $\mathscr{U}$ of $X$, there exists a (discrete closed) countable subset $B$ of $X$ such that $St(B, \mathscr{U}) = X$. We investigate the relationship between these spaces and $\omega_{1}$-compact spaces, and also study topological properties of discretely star-Lindelöf spaces.
Citation
Yan-Kui Song. "Discretely star-Lindelöf spaces." Tsukuba J. Math. 25 (2) 371 - 382, December 2001. https://doi.org/10.21099/tkbjm/1496164294
Information