An incomplete real tree with complete segments

Raphael Appenzeller, Luca De Rosa, Xenia Flamm +1

Let $\mathbb{F}$ be the field of real Puiseux series and ${\mathcal{T}}_{\mathbb{F}}$ the $\mathbb{Q}$-tree defined by Brumfiel. We show that completing all the segments of $\mathcal{T…