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arXiv · 2507.01662

Not OCA and products of Frechet spaces

Alan Dow
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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 $\mathfrak c\leq\omega_2$. In fact, OCA implies an affirmative answer.

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Alan Dow. 2025-07-02. Not OCA and products of Frechet spaces. https://arxiv.org/abs/2507.01662

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