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

Authors

  • Jorge Campos Universidad Nacional Experimental Polit´ecnica Antonio Jos´e de Sucre, Departamento de Estudios B´asicos, Secci´on de Matem´atica, Barquisimeto, Venezuela
  • Neptalí Romero Universidad Centroccidental Lisandro Alvarado, Departamento de Matem´atica, Decanato de Ciencias y Tecnolog´ıa, Barquisimeto, Venezuela
  • Ramón Vivas Universidad Nacional Experimental Polit´ecnica Antonio Jos´e de Sucre, Departamento de Estudios B´asicos, Secci´on de Matem´atica, Barquisimeto, Venezuela

DOI:

https://doi.org/10.33044/revuma.1795

Abstract

 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.

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Published

2022-05-23

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