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arxiv: 1810.08763 · v1 · pith:TF5FPXFKnew · submitted 2018-10-20 · 🧮 math.LO

There is a +-Ramsey textsf{MAD} family

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keywords familyramseytextsfmichaeladditionalansweraxiomsbeyond
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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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