Revista de la
Unión Matemática Argentina
On the image set and reversibility of shift morphisms over discrete alphabets
Jorge Campos, Neptalí Romero, and Ramón Vivas
Volume 63, no. 1 (2022), pp. 169–184

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We provide sufficient conditions in order to show that the image set 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.