Non-homotopic Loops with a Bounded Number of Pairwise Intersections

Václav Blažej, Michal Opler, Matas Šileikis +1

Let $V_n$ be a set of $n$ points in the plane and let $x\notin V_n$. An $x$-loop is a continuous closed curve not containing any point of $V_n$. We say that two $x$-loops are non-…