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Strongly unfoldable, splitting and bounding
Mathematical Logic Quarterly 69 (1):7-14 (2023)
Abstract
Assuming, we show that generalized eventually narrow sequences on a strongly inaccessible cardinal κ are preserved under a one step iteration of the Hechler forcing for adding a dominating κ‐real. Moreover, we show that if κ is strongly unfoldable, and λ is a regular cardinal such that, then there is a set generic extension in which.My notes
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References found in this work
Mad families, splitting families and large continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198 - 208.
Adjoining dominating functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.
Cardinal invariants above the continuum.James Cummings & Saharon Shelah - 1995 - Annals of Pure and Applied Logic 75 (3):251-268.
Strongly unfoldable cardinals made indestructible.Thomas A. Johnstone - 2008 - Journal of Symbolic Logic 73 (4):1215-1248.
Chains of end elementary extensions of models of set theory.Andrés Villaveces - 1998 - Journal of Symbolic Logic 63 (3):1116-1136.
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