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Updated: Jun 2, 2026

07:14
Evaluating Dryocosmus Kuriphilus-induced Damage on Castanea Sativa
Published on: August 30, 2018
Diamond on Kurepa trees
Ziemowit Kostana1, Assaf Rinot2, Saharon Shelah3,4
1Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic.
Abstract
None:
We introduce a new weak variation of diamond that is meant to guess only the branches of a Kurepa tree. We demonstrate that this variation is considerably weaker than diamond by proving it is compatible with Martin's axiom. We then prove that this principle is nontrivial by showing it may consistently fail.
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