Remarks on selectively absolute star-Lindelöf spaces

A space X is selectively absolutely star-Lindelöf[1], [3] if for each open cover U of X and any sequence (Dn:n∈ω) of dense subsets of X, there are finite sets Fn⊆Dn(n∈ω) such that St(⋃n∈ωFn,U)=X. In this paper, we continue to investigate topological properties of selectively absolute star-Lindelöf spaces, and show the following statements: