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Not OCA and products of Frechet spaces

2025/07/02 by Dow, Alan
#03E35 #03E50 #54A35 (Primary) #54D55 (Secondary) #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.2507.01662

Abstract

We continue the investigation of the question of whether the product of two countable Fréchet 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≤ω2. In fact, OCA implies an affirmative answer.

Citations

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