There is a $+$-Ramsey \textsf{MAD} family

Osvaldo Guzman

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arXiv · 1810.08763

There is a $+$-Ramsey \textsf{MAD} family

Osvaldo Guzman

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Abstract

We answer an old question of Michael Hru\v{s}\'{a}k by constructing a $+$-Ramsey \textsf{MAD} family without the need of any additional axioms beyond $\mathsf{ZFC.}$ We also prove that every Miller-indestructible \textsf{MAD }family is $+$-Ramsey, this improves a result of Michael Hru\v{s}\'{a}k.

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Osvaldo Guzman. 2018-10-20. There is a $+$-Ramsey \textsf{MAD} family. https://arxiv.org/abs/1810.08763

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