非加尔文过滤器

IF 0.9 1区数学 Q1 LOGIC

Journal of Mathematical Logic Pub Date : 2024-03-22 DOI:10.1142/s021906132450017x

Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda

{"title":"非加尔文过滤器","authors":"Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda","doi":"10.1142/s021906132450017x","DOIUrl":null,"url":null,"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].","PeriodicalId":50144,"journal":{"name":"Journal of Mathematical Logic","volume":"78 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-Galvin filters\",\"authors\":\"Tom Benhamou, Shimon Garti, Moti Gitik, Alejandro Poveda\",\"doi\":\"10.1142/s021906132450017x\",\"DOIUrl\":null,\"url\":null,\"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].\",\"PeriodicalId\":50144,\"journal\":{\"name\":\"Journal of Mathematical Logic\",\"volume\":\"78 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-03-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s021906132450017x\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Logic","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s021906132450017x","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"LOGIC","Score":null,"Total":0}

引用次数: 0

摘要

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。

查看原文本刊更多论文

Non-Galvin filters

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].

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Logic MATHEMATICS-LOGIC

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Logic (JML) provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.