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Bibliographic Details
Main Authors: Dow, Alan, Pecoraro, Hayden
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.22590
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Table of Contents:
  • 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.