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arXiv · 2404.02715

Diamond on Kurepa trees

Ziemowit Kostana·Assaf Rinot·Saharon Shelah
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Abstract

We introduce a new weak variation of diamond that is meant to only guess 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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Ziemowit Kostana, Assaf Rinot, Saharon Shelah. 2024-04-03. Diamond on Kurepa trees. https://arxiv.org/abs/2404.02715

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