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arXiv:2401.00572 [math.LO]AbstractReferencesReviewsResources

Sealed Kurepa Trees

Itamar Giron, Yair Hayut

Published 2023-12-31Version 1

In this paper we investigate the problem of the distributivity of Kurepa trees. We show that it is consistent that there are Kurepa trees and for every Kurepa tree there is a small forcing notion which adds a branch to it without collapsing cardinals. On the other hand, we derive a proper forcing notion for making an arbitrary Kurepa tree into a non-distributive tree without collapsing $\aleph_1$ and $\aleph_2$.

Categories: math.LO
Subjects: 03E05, 03E35
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