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Preprint Number 1716

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1716. Will Johnson
Forking and Dividing in Fields with Several Orderings and Valuations

Submission date: 8 January 2020.


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 pCF.

Mathematics Subject Classification: 03C60, 03C45

Keywords and phrases:

Full text arXiv 2001.02415: pdf, ps.

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