6 problems

Let $S$ be a finite-type hyperbolic surface, and let $\mathcal{E} \mathcal{L} (S)$ denote its ending lamination space with the coarse Hausdorff topology. Storm's connectivity conje…

Let $S$ be a $p$-punctured surface of genus $g$, set $n=3g+p-4$, and let $\mathcal{E} \mathcal{L} (S)$ denote its ending lamination space. Dimension duality conjecture. The dimensi…

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…

Let $S$ be a finite-type hyperbolic surface and write $\mathcal{P} \mathcal{M} \mathcal{L} (S)$ for its projective measured lamination space. Suppose…

Let $S$ be a finite-type hyperbolic surface, and let $\mathcal{E} \mathcal{L} (S)$ denote its ending lamination space. An $m$-dimensional Nöbeling space is the subspace of…