Non-Galvin filters

Pub Date : 2024-03-22 DOI:10.1142/s021906132450017x

Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda

引用次数: 0

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. Logic173 (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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非加尔文过滤器

我们讨论了某些滤波器和超滤波器的一致性强度问题，这些滤波器和超滤波器不满足高尔文性质。我们回答了 [Benhamou 和 Gitik, Ann.纯应用逻辑 173 (2022) 103107; 问题 7.8, 7.9], [Benhamou et al., J. Lond. Math. Soc.108(1) (2023) 190-237; Question 5] 并改进了定理 [Benhamou et al., J. Lond. Math. Soc.108(1) (2023) 190-237; Theorem 2.3]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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