3 problems

Let $\mathcal{H}$ be a hyperbolic component of disjoint type. Define its obstructed boundary by … Let $\partial^\infty_{\mathbb{Q}}\mathcal{H}$ be the subset of…

Milnor's Hausdorff-dimension conjecture. If $\mathcal H$ is not exceptional, then $\partial\mathcal H$ is a fractal set in the sense that

Milnor's non-local-connectivity conjecture. If the maps in $\mathcal H$ have an attracting cycle with two distinct free critical points in its attracting basin, then…