{"title":"用一个谎言群来定义所有谎言","authors":"Annalisa Conversano, M. Mamino","doi":"10.1215/00294527-2022-0002","DOIUrl":null,"url":null,"abstract":"We prove that a first-order structure defines (resp. interprets) every connected Lie group if and only if it defines (resp. interprets) the real field expanded with a predicate for the integers.","PeriodicalId":51259,"journal":{"name":"Notre Dame Journal of Formal Logic","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2020-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"One Lie Group to Define Them All\",\"authors\":\"Annalisa Conversano, M. Mamino\",\"doi\":\"10.1215/00294527-2022-0002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that a first-order structure defines (resp. interprets) every connected Lie group if and only if it defines (resp. interprets) the real field expanded with a predicate for the integers.\",\"PeriodicalId\":51259,\"journal\":{\"name\":\"Notre Dame Journal of Formal Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2020-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notre Dame Journal of Formal Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1215/00294527-2022-0002\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notre Dame Journal of Formal Logic","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/00294527-2022-0002","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
We prove that a first-order structure defines (resp. interprets) every connected Lie group if and only if it defines (resp. interprets) the real field expanded with a predicate for the integers.
期刊介绍:
The Notre Dame Journal of Formal Logic, founded in 1960, aims to publish high quality and original research papers in philosophical logic, mathematical logic, and related areas, including papers of compelling historical interest. The Journal is also willing to selectively publish expository articles on important current topics of interest as well as book reviews.