English

Not OCA and products of Frechet spaces

General Topology 2025-07-03 v1 Logic

Abstract

We continue the investigation of the question of whether the product of two countable Fr\'echet spaces must be M-separable. We are especially interested in this question in the presence of Martin's Axiom. The question has been shown to be independent of Martin's Axiom but only in models in which cω2\mathfrak c\leq\omega_2. In fact, OCA implies an affirmative answer.

Keywords

Cite

@article{arxiv.2507.01662,
  title  = {Not OCA and products of Frechet spaces},
  author = {Alan Dow},
  journal= {arXiv preprint arXiv:2507.01662},
  year   = {2025}
}

Comments

16 pages