KUREPA TREES AND THE FAILURE OF THE GALVIN PROPERTY

Tom Benhamou, Shimon Garti, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We force the existence of a non-trivial κ-complete ultrafilter over κ which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].

Original languageAmerican English
Pages (from-to)1301-1309
Number of pages9
JournalProceedings of the American Mathematical Society
Volume151
Issue number3
DOIs
StatePublished - 1 Mar 2023

Bibliographical note

Publisher Copyright:
© 2022 American Mathematical Society.

Keywords

  • The Galvin property
  • slim Kurepa trees
  • supercompactness

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