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New examples in the study of selectively separable spaces (2509.22590v1)
Published 26 Sep 2025 in math.GN
Abstract: 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 Fr\'echet-Urysohn, and we produce two additional examples from weaker assumptions.
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