On relatively almost Lindelöf subsets. (English) Zbl 1006.54030

Sarsak, M. S.

Acta Math. Hung. 97, No. 1-2, 109-114 (2002).

Summary: We introduce the concept of relatively almost Lindelöf subsets as a generalization of almost Lindelöf subspaces. We study various properties of relatively almost Lindelöf subsets and investigate the relationship between relatively almost Lindelöf subsets and almost Lindeöf subspaces. A special interest is given to spaces \(X\) in which almost Lindelöf subsets relative to \(X\) are closed.

MSC:

54D20

Noncompact covering properties (paracompact, Lindelöf, etc.)