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The special Aronszajn tree property
Journal of Mathematical Logic 20 (1):2050003 (2019)
Abstract
Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal [Formula: see text], there are [Formula: see text]-Aronszajn trees, and all such trees are special.Author's Profile
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Citations of this work
Souslin trees at successors of regular cardinals.Assaf Rinot - 2019 - Mathematical Logic Quarterly 65 (2):200-204.
Specialising Trees with Small Approximations I.Rahman Mohammadpour - forthcoming - Journal of Symbolic Logic:1-24.
References found in this work
Aronszajn trees and the independence of the transfer property.William Mitchell - 1972 - Annals of Mathematical Logic 5 (1):21.
The tree property at successors of singular cardinals.Menachem Magidor & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):385-404.
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