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

Published 20 Oct 2018 in math.LO | (1810.08763v1)

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 ZFC.\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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