Tom Benhamou

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math.LO2025

Tukey-idempotency and strong p-points

Tom Benhamou, Natasha Dobrinen, Tan Ãzalp

We characterize strong $p$ -point ultrafilters by showing that they are exactly those $p$ -points that are not Tukey above $(I ¨ ^{I ¨} , \leq)$ ; or equivalently, those $p$ -points that are…

math.LO2024

On the Tukey types of Fubini products

Tom Benhamou, Natasha Dobrinen

We extend the class of ultrafilters $U$ over countable sets for which $U \cdot U \equiv_{T} U$ , extending several results from \cite{Dobrinen/Todorcevic11}. In particular, we prove tha…