2 problems

Gluing characterization conjecture. If $\{u,v\}$ is not linked in $G_2$ in $\mathbb{R}^d$, then $\{u,v\}$ is globally linked in $G$ in $\mathbb{R}^d$ if and only if it is globally…

Gluing conjecture. If $\{u,v\}$ is linked in $G_i$ in $\mathbb{R}^d$ for $i\in\{1,2\}$, then $\{u,v\}$ is globally linked in $G$ in $\mathbb{R}^d$.