Melin, Erik(Universitat Politècnica de València, 2008-04-01)
[EN] We give necessary and sufficient conditions for the existence of a continuous extension from a smallest-neighborhood space (Alexandrov space) X to the Khalimsky line. Using this result, we classify the subsets A X ...
Hamada, Sayaka(Editorial Universitat Politècnica de València, 2015-04-01)
[EN] The aim of this paper is to prove a known fact that the digital line is cotractible. Hence we have that the digital space $({\bf Z}^{n}, \kappa^{n})$ is also cotractible where $({\bf Z}^{n}, \kappa^{n})$ is $n$ products ...
Bouassida, Ezzeddine(Universitat Politècnica de València, 2008-10-01)
[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 ...