{"title":"拓扑空间中Furstenburg族与阴影的注释","authors":"S. A. Ahmadi","doi":"10.1080/1726037X.2018.1564580","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this note we use the concepts of lower density and upper density for elements of Furstenburg families to measure the set of error times in the shadowing process in non-metrizable topological spaces. We show that the measure of errors is the same for all iterations of a dynamical system.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"17 1","pages":"51 - 59"},"PeriodicalIF":0.4000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2018.1564580","citationCount":"0","resultStr":"{\"title\":\"A Note on Furstenburg Families and Shadowing in Topological Spaces\",\"authors\":\"S. A. Ahmadi\",\"doi\":\"10.1080/1726037X.2018.1564580\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In this note we use the concepts of lower density and upper density for elements of Furstenburg families to measure the set of error times in the shadowing process in non-metrizable topological spaces. We show that the measure of errors is the same for all iterations of a dynamical system.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"17 1\",\"pages\":\"51 - 59\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2019-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2018.1564580\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2018.1564580\",\"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":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2018.1564580","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
A Note on Furstenburg Families and Shadowing in Topological Spaces
ABSTRACT In this note we use the concepts of lower density and upper density for elements of Furstenburg families to measure the set of error times in the shadowing process in non-metrizable topological spaces. We show that the measure of errors is the same for all iterations of a dynamical system.
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