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math.LO2006★ 4 cited
Kurepa-trees and Namba-forcing
Bernhard Koenig, Yasuo Yoshinobu
We show that compact cardinals and {\rm MM} are sensitive to -closed forcings for arbitrarily large . This is done by adding 'regressive' -Kurepa-trees in either case. We…
math.LO2006
Forcing indestructibility of set-theoretic axioms
Bernhard Koenig
Various theorems for the preservation of set-theoretic axioms under forcing are proved, regarding both forcing axioms and axioms true in the Levy-Collapse. These show in particular…