Non-Galvin filters-Reference-Cited by-同舟云学术

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Non-Galvin filters

Published:2024-03-22 Issue: Volume: Page:
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Benhamou Tom¹^ORCID,Garti Shimon²^ORCID,Gitik Moti³^ORCID,Poveda Alejandro⁴^ORCID

Affiliation:

1. Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA

2. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

3. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Science, Tel-Aviv University, Ramat Aviv 69978, Israel

4. Center of Mathematical Sciences and Applications, Harvard University, Cambridge, MA, 02138, USA

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].

Funder

ISF

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021906132450017X

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