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There is a +-Ramsey MAD family

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Abstract

We answer an old question of Michael Hrušák by constructing a +-Ramsey MAD family without the need of any additional axioms beyond ZFC. We also prove that every Miller-indestructible MAD family is +-Ramsey; this improves a result of Michael Hrušák.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, York University, Toronto, Canada

    Osvaldo Guzmán

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  1. Osvaldo Guzmán
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Correspondence to Osvaldo Guzmán.

Additional information

This research forms part of the the author's Ph.D thesis, which was supported by CONACyT scholarship 420090.

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Guzmán, O. There is a +-Ramsey MAD family. Isr. J. Math. 229, 393–414 (2019). https://doi.org/10.1007/s11856-018-1807-9

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  • DOI: https://doi.org/10.1007/s11856-018-1807-9

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