{"title":"CM-trivial structures without the canonical base property","authors":"Thomas Blossier, Léo Jimenez","doi":"10.2140/mt.2022.1.31","DOIUrl":null,"url":null,"abstract":"Based on Hrushovski, Palac{\\'i}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure is, in particular, CM-trivial, and thus at the lowest possible level of the ample hierarchy.","PeriodicalId":21757,"journal":{"name":"Simul. Model. Pract. Theory","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simul. Model. Pract. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/mt.2022.1.31","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Based on Hrushovski, Palac{\'i}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure is, in particular, CM-trivial, and thus at the lowest possible level of the ample hierarchy.