Splitting families and complete separability

Mathematics – Logic

Scientific paper

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Scientific paper

We answer a question from Raghavan and Stepr{\=a}ns' paper on weakly tight
families by showing that $\mathfrak{s} = {\mathfrak{s}}_{\omega, \omega}$. Then
we use this to construct a completely separable maximal almost disjoint family
under $\s \leq \a$, partially answering a question of Shelah.

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