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- W4288357464 abstract "We study maximal independent families (m.i.f.) in the projective hierarchy. We show that (a) the existence of a $boldsymbol{Sigma}^1_2$ m.i.f. is equivalent to the existence of a $boldsymbol{Pi}^1_1$ m.i.f., (b) in the Cohen model, there are no projective maximal independent families, and (c) in the Sacks model, there is a $boldsymbol{Pi}^1_1$ m.i.f. We also consider a new cardinal invariant related to the question of destroying or preserving maximal independent families." @default.
- W4288357464 created "2022-07-29" @default.
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- W4288357464 date "2019-05-12" @default.
- W4288357464 modified "2023-10-16" @default.
- W4288357464 title "Definable Maximal Independent Families" @default.
- W4288357464 doi "https://doi.org/10.48550/arxiv.1905.04756" @default.
- W4288357464 hasPublicationYear "2019" @default.
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