Non-Galvin filters

Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We address the question of consistency strength of certain filters and ultrafilters which fail to satisfy the Galvin property. We answer questions [Benhamou and Gitik, Ann. Pure Appl. Logic 173 (2022) 103107; Questions 7.8, 7.9], [Benhamou et al., J. Lond. Math. Soc. 108(1) (2023) 190-237; Question 5] and improve theorem [Benhamou et al., J. Lond. Math. Soc. 108(1) (2023) 190-237; Theorem 2.3].

Original languageAmerican English
Article number2450017
JournalJournal of Mathematical Logic
StateAccepted/In press - 2024

Bibliographical note

Publisher Copyright:
© 2024 World Scientific Publishing Company.


  • Galvin's property
  • Prikry-type forcings
  • singular cardinals


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