Saturated O-Minimal Expansions of Real Closed Fields

Details Saturated O-Minimal Expansions of Real Closed Fields Saturated O-Minimal Expansions of Real Closed Fields

2011-12-17

arxiv.org/abs/1112.4078v1

Mathematics

Logic

7 pages. Key words and phrases. natural valuation, value group, residue field, pseudo- Cauchy sequences, o-minimal expansion o

Scientific paper

In [KKMZ02] we gave a valuation theoretic characterization for a real closed
field to be $\kappa$-saturated, for a cardinal $\kappa \geq \aleph_0$. In this
paper, we adapt the proof of [KKMZ02, Theorem 6.2], and generalize the result,
giving necessary and sufficient conditions for an o-minimal expansion of a real
closed field to be $\kappa$-saturated.

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