Kurepa-trees and Namba-forcing

Details Kurepa-trees and Namba-forcing Kurepa-trees and Namba-forcing

2006-05-04

arxiv.org/abs/math/0605130v1

Mathematics

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Scientific paper

We show that compact cardinals and {\rm MM} are sensitive to $\lambda$-closed
forcings for arbitrarily large $\lambda$. This is done by adding 'regressive'
$\lambda$-Kurepa-trees in either case. We argue that the destruction of
regressive Kurepa-trees with {\rm MM} requires the use of Namba forcing.

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