论文标题

半平等理论

Semi-equational theories

论文作者

Chernikov, Artem, Mennen, Alex

论文摘要

我们介绍和研究半平等和弱半平等理论,将稳定理论(从SROUR的意义上)概括为nip上下文。特别是,我们通过单方面的诚实定义建立了与远距离的联系。证明某些树木是半平等的,而代数封闭的有价值的田地并非半平等;并获得通过新谓词扩展远端结构的弱半平等性的一般标准。

We introduce and study semi-equational and weakly semi-equational theories, generalizing equationality in stable theories (in the sense of Srour) to the NIP context. In particular, we establish a connection to distality via one-sided strong honest definitions; demonstrate that certain trees are semi-equational, while algebraically closed valued fields are not weakly semi-equational; and obtain a general criterion for weak semi-equationality of an expansion of a distal structure by a new predicate.

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