Characterizing the spectra of cardinalities of branches of Kurepa Trees

Márk Poór*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)423-454
Number of pages32
JournalPacific Journal of Mathematics
Volume311
Issue number2
DOIs
StatePublished - 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021, Pacific Journal of Mathematics. All rights reserved.

Keywords

  • cardinal spectra
  • constructible universe
  • Kurepa tree

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