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arXiv · 2001.02415

Forking and Dividing in Fields with Several Orderings and Valuations

Will Johnson
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Abstract

We consider existentially closed fields with several orderings, valuations, and $p$-valuations. We show that these structures are NTP$_2$ of finite burden, but usually have the independence property. Moreover, forking agrees with dividing, and forking can be characterized in terms of forking in ACVF, RCF, and $p$CF.

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Will Johnson. 2020-01-08. Forking and Dividing in Fields with Several Orderings and Valuations. https://arxiv.org/abs/2001.02415

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