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 ...
Iliadis, S.D.; Sadovnichy, Yu. V.(Universitat Politècnica de València, 2021-04-01)
[EN] Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been ...
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 ...