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Easton collapses and a strongly saturated filter
Archive for Mathematical Logic 59 (7-8):1027-1036 (2020)
Abstract
We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.My notes
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Citations of this work
The extent of saturation of induced ideals.Kenta Tsukuura - forthcoming - Archive for Mathematical Logic:1-17.
Weak saturation properties and side conditions.Monroe Eskew - 2024 - Annals of Pure and Applied Logic 175 (1):103356.
References found in this work
Local saturation and square everywhere.Monroe Eskew - 2020 - Journal of Mathematical Logic 20 (3):2050019.
A Model in Which GCH Holds at Successors but Fails at Limits.James Cummings, Matthew Foreman & Menachem Magidor - 2002 - Bulletin of Symbolic Logic 8 (4):550-552.
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