Linear orders in NIP structures

Pierre Simon

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arXiv · 1807.07949

Linear orders in NIP structures

Pierre Simon

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Abstract

We show that every unstable NIP theory admits a V-definable linear quasi-order, over a finite set of parameters. In particular, if the theory is omega-categorical, then it interprets an infinite linear order. This partially answers a longstanding open question.

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Pierre Simon. 2018-07-20. Linear orders in NIP structures. https://arxiv.org/abs/1807.07949

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