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arXiv · 1706.04674

Remarks on NIP in a model

Karim Khanaki·Anand Pillay
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Abstract

We define the notion $\phi(x,y)$ has $NIP$ in $A$, where $A$ is a subset of a model, and give some equivalences by translating results from [1]. Using additional material from [11] we discuss the number of coheirs when $A$ is not necessarily countable. We also revisit the notion "$\phi(x,y)$ has $NOP$ in a model $M$" from [8].

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Karim Khanaki, Anand Pillay. 2017-06-14. Remarks on NIP in a model. https://doi.org/10.1002/malq.201700070

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