Directional mean dimension and continuum-wise expansive ${\mathbb{Z}}^k$-actions

Sebastián Donoso, Lei Jin, Alejandro Maass +1

We study directional mean dimension of ${\mathbb{Z}}^k$-actions (where $k$ is a positive integer). On the one hand, we show that there is a ${\mathbb{Z}}^2$-action whose directional me…