2 problems

Let $S$ be a $p$-punctured surface of genus $g$. Write $\mathcal{C} (S)$ for its curve complex, $\mathcal{E} \mathcal{L} (S)$ for its ending lamination space, and…

Let $S$ be a $p$-punctured surface of genus $g$, and set $n=3g+p-4$. Define $k$ by $k=0$ if $g=0$, $k=g-1$ if both $p\neq 0$ and $g\neq 0$, and $k=g-2$ if $p=0$. Let…