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arXiv · 2501.01176

Green points in the reals

Yilong Zhang
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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.

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Yilong Zhang. 2025-01-02. Green points in the reals. https://arxiv.org/abs/2501.01176

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