Simple product and locally o-minimal theories
Logic
2022-08-18 v2
Abstract
There exist NIP and non-NTP 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 . We construct these examples using the notion of simple product.
Keywords
Cite
@article{arxiv.2110.11596,
title = {Simple product and locally o-minimal theories},
author = {Masato Fujita},
journal= {arXiv preprint arXiv:2110.11596},
year = {2022}
}
Comments
Corrected based on the comment from John Goodrick