{"title":"Star-Selection Principle: Another New Direction","authors":"Prasenjit Bal, S. Bhowmik","doi":"10.18311/JIMS/2017/6124","DOIUrl":null,"url":null,"abstract":"Generally selection principles deal with two collections of families of subsets. In this paper we have introduce some new star-selection principles termed as SS* C,1 ( A, B ) and SS* C,fin ( A, B ) which deal with three collections of subsets or families of subsets of a set. As a initiation of a systemic study, some properties of the new selection principles are investigated which show them to be distinct from existing selection principles.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"1-6"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18311/JIMS/2017/6124","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 8
Abstract
Generally selection principles deal with two collections of families of subsets. In this paper we have introduce some new star-selection principles termed as SS* C,1 ( A, B ) and SS* C,fin ( A, B ) which deal with three collections of subsets or families of subsets of a set. As a initiation of a systemic study, some properties of the new selection principles are investigated which show them to be distinct from existing selection principles.
期刊介绍：
The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.
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