Negating the Galvin property

Tom Benhamou; Shimon Garti; Alejandro Poveda

doi:10.1112/jlms.12743

Negating the Galvin property

Tom Benhamou, Shimon Garti, Alejandro Poveda^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 language	English
Pages (from-to)	190-237
Number of pages	48
Journal	Journal of the London Mathematical Society
Volume	108
Issue number	1
DOIs	https://doi.org/10.1112/jlms.12743
State	Published - Jul 2023

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© 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

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10.1112/jlms.12743

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Negating the Galvin property

Abstract

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