Model-theoretic dividing lines in the context of finite structures
Model-theoretic dividing lines in the context of finite structures
批准号:
2882659
负责人:
金额:
$0.0万
依托单位:
依托单位国家:
英国
项目类别:
Studentship
财政年份:
2023
资助国家:
英国
项目状态:
未结题
起止时间:
2023 至 --
中文摘要
本计画主要研究有限结构中的模型论分界线,包括图、超图及交换群的子集。其中一个重点是研究高阶驯服假设的含义,最近由特里和沃尔夫制定,为超图中所谓的埃尔多斯-哈伊纳尔性质,首先由鄂尔多斯和哈伊纳尔在20世纪80年代末研究。
英文摘要
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.
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