{"title":"Versatile asymmetrical tight extensions","authors":"O. O. Otafudu, Zechariah Mushaandja","doi":"10.1515/taa-2017-0002","DOIUrl":null,"url":null,"abstract":"Abstract We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"12 - 6"},"PeriodicalIF":0.0000,"publicationDate":"2017-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0002","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2017-0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
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