부산대학교 도서관

A discrete subset is said to be Lindelöf dominated (respectively, ω -dominated) if it is contained in the closure of a Lindelöf (respectively, a countable) subspace. We continue the study of spaces begun in [1] in which every discrete subset is Lindelöf dominated (respectively, ω -dominated). We generalize results of [1] and [15] concerning perfect Hausdorff spaces and give a ZFC example of a perfect space in which all discrete subsets are Lindelöf dominated but not ω -dominated. [ABSTRACT FROM AUTHOR]