## On $$\mathcal L$$-starcompact spaces.(English)Zbl 1164.54356

Summary: 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 $$\text{St} (L,{\mathcal U})=X.$$ We clarify the relations between $$\mathcal L$$-starcompact spaces and other related spaces and investigate topological properties of $$\mathcal L$$-starcompact spaces.

### MSC:

 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54B10 Product spaces in general topology 54D55 Sequential spaces

### Keywords:

$$\mathcal L$$-starcompact
Full Text:

### References:

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