Characterizing the spectra of cardinalities of branches of Kurepa trees

DOI10.2140/PJM.2021.311.423arXiv2003.01272MaRDI QIDQ6336004

Publication date: 2 March 2020

Abstract: We give a complete characterization of the sets of cardinals that in a suitable forcing extension can be the Kurepa spectrum, that is, the set of cardinalities of branches of Kurepa trees. This answers a question of the first named author.

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Other combinatorial set theory (03E05)

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