11 citations · 73 across the 28 of their papers we have counts for
4 papers · 1 filter
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.
Minimal definable graphs of definable chromatic number at least three
Raphael Carroy, Benjamin D. Miller, David Schrittesser +1
We show that there is a Borel graph on a standard Borel space of Borel chromatic number three that admits a Borel homomorphism to every analytic graph on a standard Borel space of…
The Ramsey property implies no mad families
David Schrittesser, Asger Törnquist
We show that if all collections of infinite subsets of have the Ramsey property, then there are no infinite maximal almost disjoint (mad) families. This solves a long-standing…
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…