Omer Ben-Neria

collaborators

4 papers

math.LO2025

Aronszajn trees and maximality

Omer Ben-Neria, Siiri KivimÃ¤ki, Menachem Magidor +1

Assuming the consistency of a weakly compact cardinal above a regular uncountable cardinal $I^¼$ , we prove the consistency of the existence of a wide $I^¼^{+}$ -Aronszajn tree, i.e. a t…

math.LO2025

Cofinal families of finite VC-dimension

Omer Ben-Neria, Itay Kaplan, George Peterzil

Given infinite cardinals $I^¸ \leq I^º$ , we ask for the minimal VC-dimension of a cofinal family $F \subseteq [I^º]^{< I^¸}$ . We show that for $I^¸ = I ¨ $ and $I^º = ℵ_{n}$ it is con…

math.LO2025

Jonsson and Magidor filters

Omer Ben-Neria, Shimon Garti

We study the filter versions of square bracket partition relations, focusing on Jonssonicity and Magidority. We show that the singular cardinals in a Kleinberg sequence above some…

math.LO2024

A Kunen-Like Model with a Critical Failure of the Continuum Hypothesis

Omer Ben-Neria, Eyal Kaplan

We construct a model of the form $L [A, U]$ that exhibits the simplest structural behavior of $I ¨ $ -complete ultrafilters in a model of set theory with a single measurable cardinal $Î…