# Mathematical Logic Quarterly

## Remarks on the NIP in a model

### Abstract

We define the notion $\phi \left(x,y\right)$ has the NIP (not the independence property) in A, where A is a subset of a model, and give some equivalences by translating results from function theory. We also discuss the number of coheirs when A is not necessarily countable, and revisit the notion “ $\phi \left(x,y\right)$ has the NOP (not the order property) in a model M”.

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