Tom Benhamou

most citedCofinal types of ultrafilters over measurable cardinals

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2025

Tukey-idempotency and strong p-points

Tom Benhamou, Natasha Dobrinen, Tan Özalp

We characterize strong $p$ -point ultrafilters by showing that they are exactly those $p$ -points that are not Tukey above $(ω^{ω}, \leq)$ ; or equivalently, those $p$ -points that are no…

math.LO2023

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…

math.LO2023★ 5 cited

Cofinal types of ultrafilters over measurable cardinals

Tom Benhamou, Natasha Dobrinen

We develop the theory of cofinal types of ultrafilters over measurable cardinals and establish its connections to Galvin's property. We generalize fundamental results from the coun…