Negating the Galvin property

Tom Benhamou, Shimon Garti, Alejandro Poveda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate Galvin's property, a striking feature of the filter of closed unbounded subsets of an infinite cardinal. In particular, we continue the work of Abraham and Shelah (J. Symbolic Logic 51 (1986), no. 1, 180–189) by developing new methods to handle singular cardinals. In addition, the paper explores some new strengthenings of Galvin's property and analyzes their connections with other classical properties of filters.

Original languageEnglish
Pages (from-to)190-237
Number of pages48
JournalJournal of the London Mathematical Society
Issue number1
StatePublished - Jul 2023
Externally publishedYes


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