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arXiv · 1608.06006

A preservation theorem for theories without the tree property of the first kind

Jan Dobrowolski·Hyeungjoon Kim
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Abstract

We prove that the NTP$_1$ property of a geometric theory $T$ is inherited by theories of lovely pairs and $H$-structures associated to $T$. We also provide a class of examples of nonsimple geometric NTP$_1$ theories.

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Jan Dobrowolski, Hyeungjoon Kim. 2016-08-21. A preservation theorem for theories without the tree property of the first kind. https://doi.org/10.1002/malq.201600049

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