1. On $\scr L$-starcompact spaces
- Creator:
- Song, Yan-Kui
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Lindelöf and star-Lindelöf and ${\mathcal L}$-starcompact
- Language:
- English
- Description:
- A space $X$ is $\mathcal L$-starcompact if for every open cover $\mathcal U$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $\mathop {\mathrm St}(L,{\mathcal U})=X.$ We clarify the relations between ${\mathcal L}$-starcompact spaces and other related spaces and investigate topological properties of ${\mathcal L}$-starcompact spaces. A question of Hiremath is answered.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public