Simple product and locally o-minimal theories

Masato Fujita

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arXiv · 2110.11596

Simple product and locally o-minimal theories

Masato Fujita

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Abstract

There exist NIP and non-NTP$_2$ theories satisfying all the following conditions: It is not o-minimal; All models are strongly locally o-minimal; It has a model which is an expansion of the linearly ordered abelian group over the reals $(\mathbb R\;;\;0,+,<)$. We construct these examples using the notion of simple product.

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BibTeX RIS

Masato Fujita. 2021-10-22. Simple product and locally o-minimal theories. https://arxiv.org/abs/2110.11596

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