On selective absolute star-Lindelöfness.

A space X is selectively absolutely star-Lindelöf if for any open cover U of X and any sequence ( D n : n ∈ ω ) of dense subsets of X , there are finite sets F n ⊂ D n ( n ∈ ω ) such that S t ( ⋃ n ∈ ω F n , U ) = X . This notion was introduced by S. Bhowmik [3] , and it lies between absolute countable compactness in Matveev [9] and absolute star-Lindelöfness in Bonanzinga [4] . In this paper, we distinguish absolute star-Lindelöfness from selective absolute star-Lindelöfness, and study the general properties of selectively absolutely star-Lindelöf spaces. [ABSTRACT FROM AUTHOR]