Distality and pairs

Model Theory of Ordered Structures, Distality, NIP, Dependent Theories

Nell, Travis

关键词: Model Theory of Ordered Structures, Distality, NIP, Dependent Theories;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/105647/NELL-DISSERTATION-2019.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This thesis studies certain expansions of o-minimal structures by unary predicates. The primary motivating question is that of the model theoretic property of distality, a property introduced by Simon in order to classify ordered versus stable behavior in a dependent (NIP) theory. We classify certain commonly known expansions of o-minimal structures as distal or non-distal, show certain non-distal examples can be expanded to distal structures, classify non-distal behavior in terms of predicate boundedness, and show certain examples can be expanded to be dependent and not admit a distal expansion.