
TL;DR
This paper explores whether the product of two countable Fréchet spaces is M-separable, focusing on the influence of Martin's Axiom and showing that OCA implies an affirmative answer.
Contribution
It investigates the independence of the M-separability of products of countable Fréchet spaces from Martin's Axiom, highlighting the role of OCA in this context.
Findings
OCA implies the product of two countable Fréchet spaces is M-separable.
The question is independent of Martin's Axiom in models where c ≤ ω₂.
The paper advances understanding of topological properties under set-theoretic assumptions.
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.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Banach Space Theory
