Kurepa-trees and Namba-forcing
Logic
2007-05-23 v1
Abstract
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 argue that the destruction of regressive Kurepa-trees with {\rm MM} requires the use of Namba forcing.
Cite
@article{arxiv.math/0605130,
title = {Kurepa-trees and Namba-forcing},
author = {Bernhard Koenig and Yasuo Yoshinobu},
journal= {arXiv preprint arXiv:math/0605130},
year = {2007}
}