The Jordan curve theorem in the Khalimsky plane

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https://riunet.upv.es/handle/10251/86441

Cita bibliográfica

Bouassida, E. (2008). The Jordan curve theorem in the Khalimsky plane. Applied General Topology. 9(2):253-262. https://doi.org/10.4995/agt.2008.1805

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[EN] 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.

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Applied General Topology issn: 1576-9402

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