English

Real closed valued fields with analytic structure

Logic 2020-02-19 v1 Algebraic Geometry

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 CC-minimal.

Keywords

Cite

@article{arxiv.1812.02490,
  title  = {Real closed valued fields with analytic structure},
  author = {Pablo Cubides Kovacsics and Deirdre Haskell},
  journal= {arXiv preprint arXiv:1812.02490},
  year   = {2020}
}

Comments

10 pages. Any comments welcomed