Green points in the reals
Logic
2025-10-17 v2
Abstract
We construct an expansion of a real closed field by a multiplicative subgroup adapting Poizat's theory of green points. Its theory is strongly dependent, and every open set definable in a model of this theory is semialgebraic. We prove that the real field with a dense family of logarithmic spirals, proposed by Zilber, satisfies our theory.
Keywords
Cite
@article{arxiv.2501.01176,
title = {Green points in the reals},
author = {Yilong Zhang},
journal= {arXiv preprint arXiv:2501.01176},
year = {2025}
}