{"title":"On non-Baire rare sets in category bases","authors":"Sanjib Basu, Abhit Chandra Pramanik","doi":"arxiv-2409.01430","DOIUrl":null,"url":null,"abstract":"In this paper, we deal with non-Baire rare sets in category bases which forms\n$\\aleph_0$-independent family, where a rare set is a common generalization of\nboth Luzin and Sierpinski set.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"45 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01430","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we deal with non-Baire rare sets in category bases which forms
$\aleph_0$-independent family, where a rare set is a common generalization of
both Luzin and Sierpinski set.
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