On the Cantor and Hilbert Cube Frames and the Alexandroff-Hausdorff Theorem

Francisco Ávila, Julio Urenda, Angel Zaldívar

The aim of this work is to give a pointfree description of the Cantor set. It can be shown that the Cantor set is homeomorphic to the $p$-adic integers $\mathbb{Z}_{p}:=\{x\in\math…