{"title":"关于康托立方体的齐次性","authors":"E. SHCHEPIN, V. VALOV","doi":"10.4153/s0008439523000188","DOIUrl":null,"url":null,"abstract":"Abstract We discuss the question of extending homeomorphisms between closed subsets of the Cantor cube $D^{\\tau }$ . It is established that any homeomorphism between two closed negligible subsets of $D^{\\tau }$ can be extended to an autohomeomorphism of $D^{\\tau }$ .","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On homogeneity of Cantor cubes\",\"authors\":\"E. SHCHEPIN, V. VALOV\",\"doi\":\"10.4153/s0008439523000188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We discuss the question of extending homeomorphisms between closed subsets of the Cantor cube $D^{\\\\tau }$ . It is established that any homeomorphism between two closed negligible subsets of $D^{\\\\tau }$ can be extended to an autohomeomorphism of $D^{\\\\tau }$ .\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4153/s0008439523000188\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4153/s0008439523000188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract We discuss the question of extending homeomorphisms between closed subsets of the Cantor cube $D^{\tau }$ . It is established that any homeomorphism between two closed negligible subsets of $D^{\tau }$ can be extended to an autohomeomorphism of $D^{\tau }$ .
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