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arXiv · 2106.09808

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

Jorge Campos·Neptalí Romero·Ramón Vivas
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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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Jorge Campos, Neptalí Romero, Ramón Vivas. 2021-06-17. On the image set and reversibility of shift morphisms over discrete alphabets. https://arxiv.org/abs/2106.09808

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