José Sanabria, Laura Maza, Ennis Rosas, Carlos Carpintero
{"title":"Unified theory of the kernel of a set via hereditary classes and generalized topologies","authors":"José Sanabria, Laura Maza, Ennis Rosas, Carlos Carpintero","doi":"10.35834/2023/3501060","DOIUrl":null,"url":null,"abstract":"We build a unification of several variants of the kernel of a set in a generalized topological space endowed with a hereditary class, which is a fundamental concept to introduce new modifications of important concepts as open sets and closed sets. This new theoretical framework leads to the study in unified form of separation properties in a context much more general and versatile than the case of a topological space provided with an ideal.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"33 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Missouri Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35834/2023/3501060","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: 0
Abstract
We build a unification of several variants of the kernel of a set in a generalized topological space endowed with a hereditary class, which is a fundamental concept to introduce new modifications of important concepts as open sets and closed sets. This new theoretical framework leads to the study in unified form of separation properties in a context much more general and versatile than the case of a topological space provided with an ideal.
期刊介绍:
Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.