{"title":"论 e*$θ$ 不规则空间和 e*$θ$ 正则空间","authors":"Burcu Sünbül Ayhan","doi":"arxiv-2407.07927","DOIUrl":null,"url":null,"abstract":"The purpose of this study is to introduce a new class of regular spaces\ncalled e*$\\theta$-regular spaces which is a generalization of the class of\n$\\beta\\theta$-regular spaces. Also, we investigate some basic properties and\nseveral characterizations of e*$\\theta$-regular and e*$\\theta$-normal spaces.\nMoreover, some functions such as e*$\\theta$-closed function, generalized\ne*$\\theta$-closed function, generalized e*$\\theta$-closed function have been\ndefined and studied. Furthermore, we obtain some preservation theorems.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On e*$θ$-regular and e*$θ$-normal Spaces\",\"authors\":\"Burcu Sünbül Ayhan\",\"doi\":\"arxiv-2407.07927\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this study is to introduce a new class of regular spaces\\ncalled e*$\\\\theta$-regular spaces which is a generalization of the class of\\n$\\\\beta\\\\theta$-regular spaces. Also, we investigate some basic properties and\\nseveral characterizations of e*$\\\\theta$-regular and e*$\\\\theta$-normal spaces.\\nMoreover, some functions such as e*$\\\\theta$-closed function, generalized\\ne*$\\\\theta$-closed function, generalized e*$\\\\theta$-closed function have been\\ndefined and studied. Furthermore, we obtain some preservation theorems.\",\"PeriodicalId\":501502,\"journal\":{\"name\":\"arXiv - MATH - General Mathematics\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - General Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.07927\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.07927","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this study is to introduce a new class of regular spaces
called e*$\theta$-regular spaces which is a generalization of the class of
$\beta\theta$-regular spaces. Also, we investigate some basic properties and
several characterizations of e*$\theta$-regular and e*$\theta$-normal spaces.
Moreover, some functions such as e*$\theta$-closed function, generalized
e*$\theta$-closed function, generalized e*$\theta$-closed function have been
defined and studied. Furthermore, we obtain some preservation theorems.