11 citations · 73 across the 28 of their papers we have counts for
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math.LO2020
Maximal discrete sets
David Schrittesser
We survey results regarding the definability and size of maximal discrete sets in analytic hypergraphs. Our main examples include maximal almost disjoint (or mad) families, $\mathc…
math.LO2020
Loeb Extension and Loeb Equivalence
Robert M. Anderson, Haosui Duanmu, David Schrittesser +1
In Keisler and Sun (2004), the authors raise several open problems on Loeb equivalences between various internal probability spaces. We provide counter-examples for the first two o…
math.LO2020★ 1 cited
The Ramsey property and higher dimensional mad families
David Schrittesser, Asger Törnquist
We prove that under a principle of Ramsey regularity there are no infinite maximal almost disjoint families with respect to the transfinitely iterated Fréchet ideals. The results o…