Mathematics > Logic
[Submitted on 4 Oct 2022 (v1), last revised 19 Jun 2023 (this version, v3)]
Title:Extension bases in Henselian valued fields
View PDFAbstract:We study the behaviour of forking in valued fields, and we give several sufficient conditions for parameter sets in a Henselian valued field of residue characteristic zero to be an extension base. Notably, we consider arbitrary (potentially imaginary) bases, whereas previous related results in the literature only focus on maximally complete sets of parameters. This enables us in particular to show that forking coincides with dividing in (the imaginary expansions of) the ultraproducts of the p-adic fields.
Submission history
From: Akash Hossain [view email][v1] Tue, 4 Oct 2022 12:45:46 UTC (29 KB)
[v2] Mon, 6 Feb 2023 16:50:55 UTC (31 KB)
[v3] Mon, 19 Jun 2023 13:16:01 UTC (29 KB)
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