Publications > Preprint server > Preprint Number 609
Preprint Number 609
609. Vincent Guingona
On VC-minimal fields and dp-smallness
Submission date: 30 July 2013.
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.
Mathematics Subject Classification: 03C60, 03C45, 12J15
Keywords and phrases:
|Last updated: August 13 2013 12:41||Please send your corrections to:|