Tom Benhamou

activity

20182026

most citedPrikry Forcing and Tree Prikry Forcing of Various Filters

11 citations · 11 across the 14 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.LO2024

Stationary Reflection and the Failure OF SCH at $ℵ_{ω_{1}}$

Tom Benhamou, Dima Sinapova

Combining stationary reflection (a compactness property) with the failure of SCH (an instance of non-compactness) has been a long-standing theme. We obtain this at $ℵ_{ω_{1}}$ ,…

math.LO2024

On Ultrapowers and Cohesive Ultrafilters

Tom Benhamou

We characterize the Tukey order, the Galvin property/ Cohesive ultrafilters from \cite{Kanamori1978} in terms of ultrapowers. We use this characterization to measure the distance b…

math.LO2024

Diamond principles and Tukey-top ultrafilters on a countable set

Tom Benhamou, Fanxin Wu

We provide two types of guessing principles for ultrafilter ( $♢_{λ}^{-} (U), ♢_{λ}^{p} (U)$ ) on $ω$ which form subclasses of Tukey-top ultrafilters, and construct s…

Stationary Reflection and the Failure OF SCH at ℵω1​​

On Ultrapowers and Cohesive Ultrafilters

Diamond principles and Tukey-top ultrafilters on a countable set

Stationary Reflection and the Failure OF SCH at $ℵ_{ω_{1}}$