Georgiou, D.N.; Iliadis, S.D.(Universitat Politècnica de València, 2005-10-01)
[EN] In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology ...
Georgiou, D.N.; Iliadis, S.D.; Papadopoulos, B.K.(Universitat Politècnica de València, 2003-10-01)
[EN] In some results concerning S-splitting, S-jointly continuous, D-splitting and D-jointly continuous topologies are considered, where S and D are the Sierpinski space and the double-point space, respectively. Here we ...
[EN] The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy ...
Georgiou, D.N.(Universitat Politècnica de València, 2009-04-01)
[EN] Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give ...
Georgiou, D.N.; Iliadis, S.D.; Megaritis, A.C.(Universitat Politècnica de València, 2011-10-01)
[EN] In the paper two dimensions, denoted by dm and Dm, are defined in the class of all Hausdorff spaces. The dimension Dm does not have the universality property in the class of separable metrizable spaces because the ...