2025/09/26 by Dow, Alan, Pecoraro, Hayden
#54D65 #FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.2509.22590
The property of being selectively separable is well-studied and generalizations such as H-separable and wH-separable have also generated much interest. Bardyla, Maesano, and Zdomskyy proved from Martin's Axiom that there are countable regular wH-separable spaces that are not H-separable. We prove there is a ZFC example. Their example was also Fréchet-Urysohn, and we produce two additional examples from weaker assumptions.