Real Algebraic and Analytic Geometry

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298. Jana Maříková:
O-minimal residue fields of o-minimal fields.


Submission: 2010, January 11.

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 [8] it was shown that certain first order conditions on (R; V ) are sucient for the o-minimality of k_{ind}. Here we prove that these conditions are also necessary.

Full text, 16p.: pdf 190k.

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