Kurepa-trees and Namba-forcing
Bernhard Koenig, Yasuo Yoshinobu
Abstract
We show that compact cardinals and MM are sensitive to λ-closed forcings for arbitrarily large λ. This is done by adding 'regressive' λ-Kurepa-trees in either case. We argue that the destruction of regressive Kurepa-trees with MM requires the use of Namba forcing.
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