{"title":"一致空间与一致连续映射的余数性质","authors":"B. Kanetov, U. A. Saktanov, D. Kanetova","doi":"10.1063/1.5136115","DOIUrl":null,"url":null,"abstract":"In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Some remainders properties of uniform spaces and uniformly continuous mappings\",\"authors\":\"B. Kanetov, U. A. Saktanov, D. Kanetova\",\"doi\":\"10.1063/1.5136115\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.\",\"PeriodicalId\":175596,\"journal\":{\"name\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5136115\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5136115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some remainders properties of uniform spaces and uniformly continuous mappings
In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.
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