On a variation of selective separability using ideals

Debraj Chandra; Nur Alam; Dipika Roy

paper

On a variation of selective separability using ideals

arXiv:2511.04049

Abstract

A space $X$ is H-separable (Bella et al., 2009) if for every sequence $(Y_{n})$ of dense subspaces of $X$ there exists a sequence $(F_{n})$ such that for each $n$ $F_{n}$ is a finite subset of $Y_{n}$ and every nonempty open set of $X$ intersects $F_{n}$ for all but finitely many $n$ . In this paper, we introduce and study an ideal variant of H-separability, called $I$ -H-separability.