{"title":"论范畴基中的非贝叶稀集","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":"{\"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}","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}
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.