{"title":"均值维度与服从群体行为的不可嵌入示例","authors":"Lei Jin, K. Park, Yixiao Qiao","doi":"10.4064/fm921-1-2021","DOIUrl":null,"url":null,"abstract":". For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mean dimension and a non-embeddable example\\nfor amenable group actions\",\"authors\":\"Lei Jin, K. Park, Yixiao Qiao\",\"doi\":\"10.4064/fm921-1-2021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .\",\"PeriodicalId\":55138,\"journal\":{\"name\":\"Fundamenta Mathematicae\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamenta Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4064/fm921-1-2021\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamenta Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/fm921-1-2021","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Mean dimension and a non-embeddable example
for amenable group actions
. For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .
期刊介绍：
FUNDAMENTA MATHEMATICAE concentrates on papers devoted to
Set Theory,
Mathematical Logic and Foundations of Mathematics,
Topology and its Interactions with Algebra,
Dynamical Systems.
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