Commutativity of cofinal types
T Benhamou - arxiv preprint arxiv:2312.15261, 2023 - arxiv.org
We developed the theory of deterministic ideals and present a systematic study of the
pseudo-intersection property with respect to an ideal introduced in\cite {TomNatasha2}. We …
pseudo-intersection property with respect to an ideal introduced in\cite {TomNatasha2}. We …
On the Tukey types of Fubini products
T Benhamou, N Dobrinen - arxiv preprint arxiv:2311.15492, 2023 - arxiv.org
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 that …
$, extending several results from\cite {Dobrinen/Todorcevic11}. In particular, we prove that …
A long chain of P-points
B Kuzeljevic, D Raghavan - Journal of Mathematical Logic, 2018 - World Scientific
The notion of a δ-generic sequence of P-points is introduced in this paper. It is proved
assuming the Continuum Hypothesis (CH) that for each δ< ω 2, any δ-generic sequence of P …
assuming the Continuum Hypothesis (CH) that for each δ< ω 2, any δ-generic sequence of P …
Cofinal types of ultrafilters over measurable cardinals
T Benhamou, N Dobrinen - The Journal of Symbolic Logic, 2023 - cambridge.org
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 countable to …
its connections to Galvin's property. We generalize fundamental results from the countable to …
Order structure of P-point ultrafilters and their relatives
B Kuzeljevic, D Raghavan - arxiv preprint arxiv:2404.03238, 2024 - arxiv.org
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, stable …
precisely, we study Rudin-Keisler and Tukey reducibility in classes of selective, stable …
Initial Tukey structure below a stable ordered-union ultrafilter
T Özalp - arxiv preprint arxiv:2410.04326, 2024 - arxiv.org
Answering a question of Dobrinen and Todorcevic, we prove that below any stable ordered-
union ultrafilter $\mathcal {U} $, there are exactly four nonprincipal Tukey classes: $[\mathcal …
union ultrafilter $\mathcal {U} $, there are exactly four nonprincipal Tukey classes: $[\mathcal …
[PDF][PDF] Q-points in the Tukey order
D Raghavan - arxiv preprint arxiv:2410.20216, 2024 - arxiv.org
The purpose of this note is to address a question that has been considered in two recent
papers, namely the existence of Tukey maximal Q-points. This was asked in [2] and …
papers, namely the existence of Tukey maximal Q-points. This was asked in [2] and …
Lower Bounds of Sets of P-points
B Kuzeljevic, D Raghavan… - Notre Dame Journal of …, 2023 - projecteuclid.org
Lower Bounds of Sets of P-points Page 1 Notre Dame Journal of Formal Logic Volume 64,
Number 3, 2023 Lower Bounds of Sets of P-points Borisa Kuzeljevic, Dilip Raghavan, and …
Number 3, 2023 Lower Bounds of Sets of P-points Borisa Kuzeljevic, Dilip Raghavan, and …
THE RUDIN–KEISLER ORDERING OF P-POINTS UNDER 𝔟= 𝔠
A Starosolski - The Journal of Symbolic Logic, 2021 - cambridge.org
ME Rudin (1971) proved, under CH, that for each P-point p there exists a P-point q strictly
RK-greater than p. This result was proved under by A. Blass (1973), who also showed that …
RK-greater than p. This result was proved under by A. Blass (1973), who also showed that …
[HTML][HTML] Rapid interval P-points
J He, R **, S Zhang - Topology and its Applications, 2020 - Elsevier
In this paper a rapid non-interval P-point and a rapid non-weakly Ramsey interval P-point
are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions …
are constructed assuming Continuum Hypothesis or Martin's Axiom. These constructions …