Diamond on Kurepa trees

20260 citationsJournal Articlehybrid Open Access

Authors

Ziemowit Kostana · Czech Academy of Sciences, Institute of Mathematics

Saharon Shelah · Rutgers, The State University of New Jersey

Abstract

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.

Topics & Keywords

Computability, Logic, AI Algorithms semigroups and automata theory Advanced Topology and Set Theory

Publication Details

Published in: Monatshefte für Mathematik

DOI: 10.1007/s00605-026-02176-4

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Diamond on Kurepa trees

Authors

Abstract

Topics & Keywords

Publication Details