2 papers
math.GN2023
On non-archimedean frames
Francisco Ávila, Miriam Bocardo-Gaspar, Julio Urenda +1
In this investigation, we introduce the class of non-archimedean frames in spirit with the topological notion of non-archimedean spaces. We explore various properties of these fram…
math.CT2021
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 -adic integers $\mathbb{Z}_{p}:=\{x\in\math…