{"title":"The Marker-Steinhorn Theorem via Definable Linear Orders","authors":"Erik Walsberg","doi":"10.1215/00294527-2019-0026","DOIUrl":null,"url":null,"abstract":"We give a short proof of the Marker-Steinhorn theorem for ominimal expansions of ordered groups. The key tool is Ramakrishnan’s classification of definable linear orders in such structures.","PeriodicalId":51259,"journal":{"name":"Notre Dame Journal of Formal Logic","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notre Dame Journal of Formal Logic","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/00294527-2019-0026","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
引用次数: 2
Abstract
We give a short proof of the Marker-Steinhorn theorem for ominimal expansions of ordered groups. The key tool is Ramakrishnan’s classification of definable linear orders in such structures.
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.