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

• Jorge Campos ^[2] ; Neptalí Romero ^[1] ; Ramón Vivas ^[2]
  1. [1] Universidad Centroccidental Lisandro Alvarado

     Universidad Centroccidental Lisandro Alvarado

     Venezuela

     
  2. [2] Universidad Nacional Experimental Politécnica Antonio José de Sucre, Venezuela
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 63, Nº. 1, 2022, págs. 169-184
• Idioma: inglés
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• Resumen

  • 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.