{"title":"没有标准基性质的cm平凡结构","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":"{\"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}","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}
CM-trivial structures without the canonical base property
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.
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