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On the image set and reversibility of shift morphisms over discrete alphabets

2021/06/17 by Jorge Campos, Campos, Jorge, Neptalí Romero +3
Engineering · #37B10 37B15 #Dynamical Systems (math.DS) #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2106.09808

openalex publication_date 2021/06/17 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper we provide sufficient conditions in order to show that the set image of a continuous and shift-commuting map defined on a shift space over an arbitrary discrete alphabet is also a shift space; additionally, if such a map is injective, then its inverse is also continuous and shift-commuting.

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