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Forking and dividing in fields with several orderings and valuations
Will Johnson
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Source: Crossref
Published: Apr 17, 2021
DOI: 10.1142/s0219061321500252
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We consider existentially closed fields with several orderings, valuations, and [Formula: see text]-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 [Formula: see text]CF.
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