{"title":"On semibounded expansions of ordered groups","authors":"Pantelis E. Eleftheriou, Alex Savatovsky","doi":"10.4064/ba230725-27-9","DOIUrl":null,"url":null,"abstract":"We explore <em>semibounded</em> expansions of arbitrary ordered groups; namely, expansions that do not define a field on the whole universe. We show that if $\\mathcal R=\\langle \\mathbb R, \\lt , +, \\ldots \\rangle $ is a semibounded o-minimal structure and","PeriodicalId":487279,"journal":{"name":"Bulletin of the Polish Academy of Sciences. Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Polish Academy of Sciences. Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/ba230725-27-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We explore semibounded expansions of arbitrary ordered groups; namely, expansions that do not define a field on the whole universe. We show that if $\mathcal R=\langle \mathbb R, \lt , +, \ldots \rangle $ is a semibounded o-minimal structure and
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