3 problems

Let four rays in $\mathbb{R}^3$ emanate from the same vertex, and assume that they do not lie in a half-plane. An order one end is an end asymptotic, outside a compact set, to a tu…

Embeddedness conjecture. This end is a complete, properly embedded end of type $(m,n,m+n-1)$. The surrounding discussion says that numerical evidence supports embeddedness, but tha…

Embeddedness conjecture. If $\phi\ne-\psi$ and $\phi\ne\pi-\psi$, then the surface is embedded. The conjecture is motivated by the observation that the level curves in the planes…