7 citations · 9 across the 18 of their papers we have counts for
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math.LO2022
Rudin-Keisler capturing and Mutual Stationairy at successors of Singulars
Dominik Adolf, Omer Ben-Neria
We introduce a combinatorial notion of measures called Rudin-Keisler capturing and use it to give a new construction of elementary substructures around singular cardinals. The new…
math.LO2022
Approximating diamond principles on products at an inaccessible cardinal
Omer Ben-Neria, Jing Zhang
We isolate \emph{the approximating diamond principles}, which are consequences of the diamond principle at an inaccessible cardinal. We use these principles to find new methods for…
math.LO2022★ 1 cited
On large externally definable sets in NIP
Martin Bays, Omer Ben-Neria, Itay Kaplan +1
We study cofinal systems of finite subsets of . We show that while such systems can be NIP, they cannot be defined in an NIP structure. We deduce a positive answer to a questi…