Bouassida, Ezzeddine2017-09-052017-09-052008-10-011576-9402https://riunet.upv.es/handle/10251/86441[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.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Topological spaceAlexandroff topologyKhalimsky topologySimple closed curveJordan curve theoremThe Jordan curve theorem in the Khalimsky planeArtÃculo2017-09-0510.4995/agt.2008.1805Abierto1989-4147