The Jordan curve theorem in the Khalimsky plane

• Bouassida, Ezzeddine ^[1]
  1. [1] University of Sfax

     University of Sfax

     Túnez

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 253-262
• Idioma: inglés
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• Resumen

  • The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology. This allows a sufficiently precise description of the curves in Z2 and permit to prove a digital Jordan curve theorem in Z2.