Publications > Preprint server > Preprint Number 225
Preprint Number 225
225. Jana Marikova
O-minimal residue fields of o-minimal fields
Submission date: 12 January 2010.
Let R be an o-minimal field with a proper convex subring V. We axiomatize the class of all structures (R,V) such that k_ind, the corresponding residue field with structure induced from R via the residue map, is o-minimal. More precisely, in previous work it was shown that certain first order conditions on (R,V) are sufficient for the o-minimality of k_ind. Here we prove that these conditions are also necessary.
Mathematics Subject Classification: 03C64
Keywords and phrases:
|Last updated: January 19 2010 09:21||Please send your corrections to:|