3 papers
math.DS2025
Profinite approach to S-adic shift spaces I: Saturating directive sequences
Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet
This paper is the first in a series of three, about (relatively)free profinite semigroups and S-adic representations of minimal shift spaces. We associate to each primitive S-adic…
math.GR2025
Open multiplication in relatively free profinite semigroupoids
Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet
The purpose of this paper is to extend some useful results, such as the multiplication being open, previously known for suitable finitely generated relatively free profinite semigr…
math.GR2022
Equidivisibility and profinite coproduct
Jorge Almeida, Alfredo Costa
The aim of this work is to investigate the behavior of equidivisibility under coproduct in the category of pro- semigroups, where is a pseudovariety of fin…