Non-Galvin filters

Tom Benhamou; Shimon Garti; Moti Gitik; Alejandro Poveda

doi:10.1142/S021906132450017X

Non-Galvin filters

Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda

The Hebrew University of Jerusalem, Tel Aviv University

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

Abstract

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 language	American English
Article number	2450017
Journal	Journal of Mathematical Logic
Volume	25
Issue number	2
DOIs	https://doi.org/10.1142/S021906132450017X
State	Accepted/In press - 2024

Keywords

Galvin's property
Prikry-type forcings
singular cardinals

All Science Journal Classification (ASJC) codes

Logic

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10.1142/S021906132450017X

Cite this

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abstract = "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].",

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AU - Gitik, Moti

AU - Poveda, Alejandro

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AB - 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].

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KW - Prikry-type forcings

KW - singular cardinals

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ER -

Non-Galvin filters

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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