{"title":"精细拓扑空间中的fγ - psg闭集","authors":"P. Powar, J. K. Maitra, R. Kushwaha","doi":"10.37896/ymer21.08/19","DOIUrl":null,"url":null,"abstract":"In this paper, we have defined a new class of sets called fγ-PS-generalized closed sets using fγ-PS-open set and fγ-PS-closure of a set in fine topological space. Also, we have defined some new functions, namely fγ-PS-g-continuous by using the fγ -PS-g-closed set and fγ-PS-g-open set in fine topological space with illustrative examples. AMS Subject Classification: 54XX, 54CXX. Key Words: Fine-open sets, fγ-PS-open sets, fγ-PS-closed sets, fγ-PS-g-continuous function.","PeriodicalId":23848,"journal":{"name":"YMER Digital","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"fγ -PSg-closed sets in Fine Topological Spaces\",\"authors\":\"P. Powar, J. K. Maitra, R. Kushwaha\",\"doi\":\"10.37896/ymer21.08/19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have defined a new class of sets called fγ-PS-generalized closed sets using fγ-PS-open set and fγ-PS-closure of a set in fine topological space. Also, we have defined some new functions, namely fγ-PS-g-continuous by using the fγ -PS-g-closed set and fγ-PS-g-open set in fine topological space with illustrative examples. AMS Subject Classification: 54XX, 54CXX. Key Words: Fine-open sets, fγ-PS-open sets, fγ-PS-closed sets, fγ-PS-g-continuous function.\",\"PeriodicalId\":23848,\"journal\":{\"name\":\"YMER Digital\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"YMER Digital\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37896/ymer21.08/19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"YMER Digital","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37896/ymer21.08/19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we have defined a new class of sets called fγ-PS-generalized closed sets using fγ-PS-open set and fγ-PS-closure of a set in fine topological space. Also, we have defined some new functions, namely fγ-PS-g-continuous by using the fγ -PS-g-closed set and fγ-PS-g-open set in fine topological space with illustrative examples. AMS Subject Classification: 54XX, 54CXX. Key Words: Fine-open sets, fγ-PS-open sets, fγ-PS-closed sets, fγ-PS-g-continuous function.