Diamond on Kurepa trees

Ziemowit Kostana; Assaf Rinot; Saharon Shelah

doi:10.1007/s00605-026-02176-4

Diamond on Kurepa trees

Ziemowit Kostana
, Assaf Rinot^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	117-138
Number of pages	22
Journal	Monatshefte fur Mathematik
Volume	210
Issue number	1
DOIs	https://doi.org/10.1007/s00605-026-02176-4
State	Published - May 2026

Bibliographical note

Publisher Copyright:
© The Author(s) 2026.

Keywords

Diamond
Forcing with side conditions
Kurepa hypothesis
Weak Kurepa tree

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10.1007/s00605-026-02176-4

Cite this

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Diamond on Kurepa trees

Abstract

Bibliographical note

Keywords

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