Sh:1252

• Kostana, Z., Rinot, A., & Shelah, S. Diamond on Kurepa trees. Monatshefte Fur Mathematik. To appear. arXiv: 2404.02715 DOI: 10.1007/s00605-026-02176-4
• 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.
• Version 2026-01-13 (23p)

@article{Sh:1252,
 author = {Kostana, Ziemowit and Rinot, Assaf and Shelah, Saharon},
 title = {{Diamond on Kurepa trees}},
 journal = {Monatshefte fur Mathematik},
 year = {to appear},
 doi = {10.1007/s00605-026-02176-4},
 note = {\href{https://arxiv.org/abs/2404.02715}{arXiv: 2404.02715}},
 arxiv_number = {2404.02715}
}