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- W2051557852 abstract "Using ideas from Shelah's recent proof that a completely separable maximal almost disjoint family exists when $c < {aleph}_{omega}$, we construct a weakly tight family under the hypothesis $s leq b < {aleph}_{omega}$. The case when $s < b$ is handled in $ZFC$ and does not require $b < {aleph}_{omega}$, while an additional PCF type hypothesis, which holds when $b < {aleph}_{omega}$ is used to treat the case $s = b$. The notion of a weakly tight family is a natural weakening of the well studied notion of a Cohen indestructible maximal almost disjoint family. It was introduced by Hru{v{s}}{'a}k and Garc{'{i}}a Ferreira cite{Hr1}, who applied it to the Kat'etov order on almost disjoint families." @default.
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- W2051557852 date "2012-12-01" @default.
- W2051557852 modified "2023-10-10" @default.
- W2051557852 title "On Weakly Tight Families" @default.
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- W2051557852 doi "https://doi.org/10.4153/cjm-2012-017-8" @default.
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