{"title":"Lower separation axioms in bitopogenous spaces","authors":"Tom Richmond, Josef Šlapal","doi":"10.1515/ms-2024-0037","DOIUrl":null,"url":null,"abstract":"Several naturally defined lower separation axioms for bitopological spaces obtained by modifying the axioms <jats:italic>T</jats:italic> <jats:sub>0</jats:sub>, <jats:italic>T</jats:italic> <jats:sub>1</jats:sub>, and <jats:italic>R</jats:italic> <jats:sub>0</jats:sub> appear in the literature. We introduce and study analogous separation axioms for bitopogenous spaces. In particular, we investigate relationships between the axioms and discuss the conditions under which the relationships are similar to those between the corresponding separation axioms for bitopological spaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2024-0037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Several naturally defined lower separation axioms for bitopological spaces obtained by modifying the axioms T0, T1, and R0 appear in the literature. We introduce and study analogous separation axioms for bitopogenous spaces. In particular, we investigate relationships between the axioms and discuss the conditions under which the relationships are similar to those between the corresponding separation axioms for bitopological spaces.
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