{"title":"On certain new notion of order Cauchy sequences, continuity in (l)-group","authors":"S. Pal, S. Chakraborty","doi":"10.4995/agt.2022.16126","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences. Next we consider associated idea of continuity namely, ward order continuous functions [2] and investigated certain intersting results. The entire investigation is perform in (l)-group setting.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"26 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied general topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4995/agt.2022.16126","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: 0
Abstract
In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences. Next we consider associated idea of continuity namely, ward order continuous functions [2] and investigated certain intersting results. The entire investigation is perform in (l)-group setting.
期刊介绍:
The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.