On VC-minimal fields and dp-smallness

Published 30 Jul 2013 in math.LO | (1307.8004v1)

Abstract: In this paper, we show that VC-minimal ordered fields are real closed. We introduce a notion, strictly between convexly orderable and dp-minimal, that we call dp-small, and show that this is enough to characterize many algebraic theories. For example, dp-small ordered groups are abelian divisible and dp-small ordered fields are real closed.

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Authors (1)

Vincent Guingona

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