Tan Ozalp

activity

20242026

collaborators

3 papers

math.LO2026

Laver ultrafilters

Silvan Horvath, Tan Ãzalp

We introduce $Laver ultrafilters$ , namely ultrafilters $U$ for which the associated Laver forcing $L_{U}$ has the Laver property. We give simp…

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

Initial Tukey structure below a stable ordered-union ultrafilter

Tan Ãzalp

Answering a question of Dobrinen and Todorcevic, we prove that below any stable ordered-union ultrafilter $U$ , there are exactly four nonprincipal Tukey classes: $[\mathc…