{"title":"GTS中的γµh紧致性","authors":"T. Noiri, B. Roy","doi":"10.2478/aupcsm-2022-0003","DOIUrl":null,"url":null,"abstract":"Abstract Using the notion of operations on a generalized topological space (X, µ) and a hereditary class we have introduced the notion of γµ-compactness modulo a hereditary class ℋ termed as γµℋ -compactness. We have studied γµℋ-compact spaces and γµℋ-compact sets relative to µ.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"43 1","pages":"33 - 42"},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"γµℋ-compactness in GTS\",\"authors\":\"T. Noiri, B. Roy\",\"doi\":\"10.2478/aupcsm-2022-0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Using the notion of operations on a generalized topological space (X, µ) and a hereditary class we have introduced the notion of γµ-compactness modulo a hereditary class ℋ termed as γµℋ -compactness. We have studied γµℋ-compact spaces and γµℋ-compact sets relative to µ.\",\"PeriodicalId\":53863,\"journal\":{\"name\":\"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica\",\"volume\":\"43 1\",\"pages\":\"33 - 42\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/aupcsm-2022-0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/aupcsm-2022-0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract Using the notion of operations on a generalized topological space (X, µ) and a hereditary class we have introduced the notion of γµ-compactness modulo a hereditary class ℋ termed as γµℋ -compactness. We have studied γµℋ-compact spaces and γµℋ-compact sets relative to µ.