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arXiv · 1805.09968

Selective separability on spaces with an analytic topology

J. Camargo·C. Uzcategui
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Abstract

We study two form of selective selective separability, $SS$ and $SS^+$, on countable spaces with an analytic topology. We show several Ramsey type properties which imply $SS$. For analytic spaces $X$, $SS^+$ is equivalent to have that the collection of dense sets is a $G_\delta$ subset of $2^X$, and also equivalent to the existence of a weak base which is an $F_\sigma$-subset of $2^X$. We study several examples of analytic spaces.

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J. Camargo, C. Uzcategui. 2018-05-25. Selective separability on spaces with an analytic topology. https://arxiv.org/abs/1805.09968

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