POWRE: Research in Model Theory: Stable Structures via Amalgamation

POWRE：模型理论研究：通过合并实现稳定结构

• 批准号: 9973610
• 负责人: Kitty Holland
• 金额: $ 6.38万
• 依托单位: Northern Illinois University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-15 至 2002-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9973610&HistoricalAwards=false
• 关键词: POWRE; Research; Model; Theory; Stable

Holland will continue her work on the construction and analysis of new models constructed in the style of Hrushovski as generics of strong amalgamation classes. She proposes, with Baldwin, to apply their joint work to the problem of constructing a ``bad field". Holland further proposes to clarify the notionsof relative flatness and relative CM-triviality, settling upon definitions and showing that the properties are, indeed products of the method. She intends to refine her analysis of flatness and to apply the results to the current examples to classify them by degree of freeness of generation of their geometric structure. She further intends to determine the relationship between her own hierarchy of freeness and Pillay's notion of n-ampleness. This POWRE project is supported by the MPS Office of Multidisciplinary Activities (OMA).

Holland将继续她的工作，构建和分析以赫鲁晓夫斯基风格构建的新模型，作为强合并类的泛型。她建议与鲍德温一起，将他们的共同工作应用于构建“坏场”的问题。Holland进一步建议澄清相对平坦度和相对cm -琐碎性的概念，确定定义并表明这些属性确实是方法的产物。她打算完善她对平面度的分析，并将结果应用到当前的例子中，以几何结构生成的自由度对它们进行分类。她进一步打算确定她自己的自由等级和皮莱的n丰度概念之间的关系。该power项目由MPS多学科活动办公室（OMA）支持。