2 problems

Let $R$ be a real closed field. For a smooth algebraic variety $X$ over $R$, write $X^{\operatorname{h}}$ for its associated space of real points. A generalized connected open subs…

Let $\mathcal R$ be a d-minimal expansion of $\bar{\mathbb{R}}$. Let $X \subseteq \mathbb{R}^n$ be a manifold definable in $\mathcal R$, and let $Y \subseteq X$ be clopen in $X$. C…