4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.LO2025
More on setwise climbability properties
Bernhard König, Yasuo Yoshinobu
We introduce two types of variations of setwise climbability properties, which have been introduced by the second author as fragments of Jensen's square principles. We show that va…
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…