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math.LO2024
Adding ultrafilters to Shelah's model for no nowhere dense ultrafilters
Dilip Raghavan, Juris Steprāns
We exhibit a forcing for producing a model with no nowhere dense ultrafilters that satisfies the full Sacks Property. By interleaving this forcing with other forcing notions, a mod…
math.LO2024
Order structure of P-point ultrafilters and their relatives
Borisa Kuzeljevic, Dilip Raghavan
We survey some recent results about the order structure of various kinds of ultrafilters. More precisely, we study Rudin-Keisler and Tukey reducibility in classes of selective, sta…
math.LO2014★ 1 cited
On embedding certain partial orders into the P-points under RK and Tukey reducibility
Dilip Raghavan, Saharon Shelah
The study of the global structure of ultrafilters on the natural numbers with respect to the quasi-orders of Rudin-Keisler and Rudin-Blass reducibility was initiated in the 1970s b…