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Ideals and Their Generic Ultrafilters
Notre Dame Journal of Formal Logic 61 (3):403-408 (2020)
Abstract
Let I be an F σ -ideal on natural numbers. We characterize the ultrafilters which are generic over the model L for the poset of I -positive sets of natural numbers ordered by inclusion.Links
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Citations of this work
Indestructibility of ideals and MAD families.David Chodounský & Osvaldo Guzmán - 2021 - Annals of Pure and Applied Logic 172 (5):102905.
References found in this work
Mathias–Prikry and Laver–Prikry type forcing.Michael Hrušák & Hiroaki Minami - 2014 - Annals of Pure and Applied Logic 165 (3):880-894.
Forcing with filters and complete combinatorics.Claude Laflamme - 1989 - Annals of Pure and Applied Logic 42 (2):125-163.
Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems.Natasha Dobrinen - 2016 - Journal of Mathematical Logic 16 (1):1650003.
Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of p-points.Natasha Dobrinen, José G. Mijares & Timothy Trujillo - 2017 - Archive for Mathematical Logic 56 (7-8):733-782.
Mathias–Prikry and Laver type forcing; summable ideals, coideals, and +-selective filters.David Chodounský, Osvaldo Guzmán González & Michael Hrušák - 2016 - Archive for Mathematical Logic 55 (3-4):493-504.
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