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

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-06-17 DOI:10.33044/revuma.1795

J. Campos, N. Romero, R. Vivas

引用次数: 2

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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离散字母上移位态射的象集和可逆性

在本文中，我们提供了充分的条件来证明在任意离散字母表上的移位空间上定义的连续移位交换映射的集合图像也是移位空间；此外，如果这样的映射是内射的，那么它的逆也是连续的，并且是平移的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.