Autohomeomorphisms of the finite powers of the double arrow

Sebastian Barria, Carlos Martinez-Ranero

Let $\mathbb{A}$ and $\mathbb{S}$ denote the double arrow of Alexandroff and the Sorgenfrey line, respectively. We show that any homeomorphism $h{:}^m\mathbb{A}{\to }^m\mathbb{A}$ is l…