Caserta, Agata; Giarlotta, Alfio; Watson, Stephen(Universitat Politècnica de València, 2006-10-01)
[EN] We define an extended notion of resolution of topologicalspaces, where the resolving maps are partial instead of total. To showthe usefulness of this notion, we give some examples and list severalproperties of resolutions ...
Hu, Wanjun(Universitat Politècnica de València, 2006-10-01)
[EN] A generalization of independent families on a set S is introduced, based on which various topologies on S can be defined. In fact, the set S with any such topology is homeomorphic to a dense subset of the corresponding ...
Kohli, J.K.; Prasannan, A.R.(Universitat Politècnica de València, 2006-10-01)
[EN] We study several uniformities on a function space and show that the fuzzy topology associated with the fuzzy uniformity of uniform convergence is jointly fuzzy continuous on Cf (X, Y ) ,the collection of all fuzzy ...
Jardón Arcos, Daniel; Tkachuk, Vladimir V.(Universitat Politècnica de València, 2006-10-01)
[EN] We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having ...
Garibay Bonales, Fernando; Vera Mendoza, Rigoberto(Universitat Politècnica de València, 2006-10-01)
[EN] It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the ...