{"title":"论微拓扑空间中的微前邻域","authors":"P. Sathishmohan, S. S. Roshan, K. Rajalakshmi","doi":"10.17485/ijst/v17i22.741","DOIUrl":null,"url":null,"abstract":"Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"48 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Micro Pre-Neighborhoods in Micro Topological Spaces\",\"authors\":\"P. Sathishmohan, S. S. Roshan, K. Rajalakshmi\",\"doi\":\"10.17485/ijst/v17i22.741\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points\",\"PeriodicalId\":13296,\"journal\":{\"name\":\"Indian journal of science and technology\",\"volume\":\"48 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian journal of science and technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17485/ijst/v17i22.741\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian journal of science and technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17485/ijst/v17i22.741","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Micro Pre-Neighborhoods in Micro Topological Spaces
Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points