On the Hamkins approximation property
Annals of Pure and Applied Logic 144 (1-3):126-129 (2006)
Abstract
We give a short proof of a lemma which generalizes both the main lemma from the original construction in the author’s thesis of a model with no ω2-Aronszajn trees, and also the “Key Lemma” in Hamkins’ gap forcing theorems. The new lemma directly yields Hamkins’ newer lemma stating that certain forcing notions have the approximation propertyAuthor's Profile
DOI
10.1016/j.apal.2006.05.005
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References found in this work
Aronszajn trees and the independence of the transfer property.William Mitchell - 1972 - Annals of Mathematical Logic 5 (1):21.
A weak variation of Shelah's I[ω₂].William J. Mitchell - 2004 - Journal of Symbolic Logic 69 (1):94-100.