Simple product and locally o-minimal theories

Published 22 Oct 2021 in math.LO | (2110.11596v2)

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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Authors (1)

Masato Fujita

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