English

$T$-convexly valued o-minimal fields are definably spherically complete

Logic 2024-11-27 v1

Abstract

I prove the statement in the title using results from arXiv:2404.07646(2). This shows that Question~1.1 in [1] has negative answer for certain expansions of a valued field.

Keywords

Cite

@article{arxiv.2411.16706,
  title  = {$T$-convexly valued o-minimal fields are definably spherically complete},
  author = {Pietro Freni},
  journal= {arXiv preprint arXiv:2411.16706},
  year   = {2024}
}

Comments

2 pages

R2 v1 2026-06-28T20:11:58.052Z