Model-theoretic dividing lines in the context of finite structures

有限结构背景下的模型理论分界线

• 批准号: 2882659
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2882659
• 关键词: Model; theoretic; dividing; lines; context

This project concerns the study of model-theoretic dividing lines in the context of finite structures, including graphs, hypergraphs, and subsets of abelian groups. One focus is the study of the implications of higher-order tameness assumptions, recently formulated by Terry and Wolf, for the so-called Erdos-Hajnal property in hypergraphs, first investigated by Erdos and Hajnal in the late 1980s.

该项目涉及在有限结构的背景下的模型理论分裂线的研究，包括图形，超图和亚伯群的子集。一个重点是对最近由特里和沃尔夫（Terry and Wolf）提出的高阶驯服假设的含义的研究，该假设对超图中所谓的Erdos-hajnal特性进行了研究，1980年代后期由Erdos和Hajnal首次研究。