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 . In fact, OCA implies an affirmative answer.
Cite
@article{arxiv.2507.01662,
title = {Not OCA and products of Frechet spaces},
author = {Alan Dow},
journal= {arXiv preprint arXiv:2507.01662},
year = {2025}
}
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16 pages