Characterizing the spectra of cardinalities of branches of Kurepa trees

DOI10.2140/PJM.2021.311.423OpenAlexW3188905715MaRDI QIDQ2046729

Saharon Shelah, Márk Poór

Publication date: 19 August 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01272

zbMATH Keywords

constructible universecardinal spectraK-urepa tree

Mathematics Subject Classification ID

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

Related Items (1)

Perfect subtree property for weakly compact cardinals

Cites Work

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• Kurepa trees and topological non-reflection
• A model in which there are Jech-Kunen trees but there are no Kurepa trees
• Essential Kurepa trees versus essential Jech-Kunen trees
• Kurepa trees and spectra of \(\mathcal{L}_{\omega_1, \omega}\)-sentences
• Saturated ideals
• Planting Kurepa trees and killing Jech-Кunen trees in a model by using one inaccessible cardinal

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