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arXiv · 1812.02490

Real closed valued fields with analytic structure

Pablo Cubides Kovacsics·Deirdre Haskell
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Abstract

We show quantifier elimination theorems for real closed valued fields with separated analytic structure and overconvergent analytic structure in their natural one-sorted languages and deduce that such structures are weakly o-minimal. We also provide a short proof that algebraically closed valued fields with separated analytic structure (in any rank) are $C$-minimal.

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BibTeXRIS

Pablo Cubides Kovacsics, Deirdre Haskell. 2018-12-06. Real closed valued fields with analytic structure. https://doi.org/10.1017/s0013091519000361

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