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Definable MAD families and forcing axioms
Vera Fischer, David Schrittesser, Thilo Weinert
We show that under the Bounded Proper Forcing Axiom and an anti-large cardinal assumption, there is a MAD family.
Selective independence
Vera Fischer
Let denote the minimal cardinality of a maximal independent family and let denote the minimal cardinality of a maximal family of pairwise almost dis…
Higher Independence
Vera Fischer, Diana Carolina Montoya
We study higher analogues of the classical independence number on . For regular uncountable, we denote by the minimal size of a maximal -independent family. We est…
Towers and gaps at uncountable cardinals
Vera Fischer, Diana Carolina Montoya, Jonathan Schilhan +1
Our goal is to study the pseudo-intersection and tower numbers on uncountable regular cardinals, whether these two cardinal characteristics are necessarily equal, and related probl…
Definable Maximal Independent Families
Jörg Brendle, Vera Fischer, Yurii Khomskii
We study maximal independent families (m.i.f.) in the projective hierarchy. We show that (a) the existence of a m.i.f. is equivalent to the existence of a $\bold…
Good projective witnesses
Vera Fischer, Sy David Friedman, David Schrittesser +1
We develop a new forcing notion for adjoining self-coding cofinitary permutations and use it to show that consistently, the minimal cardinality of a maxima…