On a variation of selective separability: S-separability

A space X is S-separable (Aurichi et al., 2026) if for every sequence (Yn : n ∈ ω) of dense subsets of X , there exists a sequence (Fn : n ∈ ω) such that for each n ∈ ω, Fn is a finite subset of Yn , and for every finite collection of nonempty open subsets of X , there exists n ∈ ω such that for all . In this paper, we continue the study of S-separability initiated in (Aurichi et al., 2026).