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arXiv · 2003.03144

M-separable spaces of functions are productive in the Miller model

Dušan Repovš·Lyubomyr Zdomskyy
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Abstract

We prove that in the Miller model, every $M$-separable space of the form $C_p(X)$, where $X$ is metrizable and separable, is productively $M$-separable, i.e., $C_p(X)\times Y$ is $M$-separable for every countable $M$-separable $Y$.

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BibTeXRIS

Dušan Repovš, Lyubomyr Zdomskyy. 2020-03-06. M-separable spaces of functions are productive in the Miller model. https://doi.org/10.1016/j.apal.2020.102806

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