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A Sacks indestructible co-analytic maximal eventually different family

Volume 252 / 2021

Vera Fischer, David Schrittesser Fundamenta Mathematicae 252 (2021), 179-201 MSC: 03E17, 03E35. DOI: 10.4064/fm842-1-2020 Published online: 15 April 2020

Abstract

In the constructible universe, we construct a co-analytic maximal family of pairwise eventually different functions from $\mathbb N $ to $\mathbb N $ (also known as a med family, or a mad family of functions) which remains maximal after forcing with a countably supported iteration or product (of arbitrary length) of Sacks forcing.

Authors

  • Vera FischerKurt Gödel Research Center
    University of Vienna
    Augasse 2–6, UZA 1, Building 2
    1090 Wien, Austria
    e-mail
  • David SchrittesserKurt Gödel Research Center
    University of Vienna
    Augasse 2–6, UZA 1, Building 2
    1090 Wien, Austria
    e-mail

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