Gregori, Valentín; Romaguera, Salvador(Universitat Politècnica de València, 2004-04-01)
[EN] We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy ...
Kopperman, Ralph D.; Matthews, S.; Pajoohesh, H.(Universitat Politècnica de València, 2004-04-01)
[EN] Partial metrics are metrics except that the distance from a point to itself need not be 0. These are useful in modelling partially defined information, which often appears in computer science. We generalize this notion ...
[EN] The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of ...
Castro Pereira, I.; Tomita, A.H.(Universitat Politècnica de València, 2004-04-01)
[EN] Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “k-Lindelöfness” and ”k-compactness” for cardinals ...
Carter, Sheila; Craveiro de Carvalho, F.J.(Universitat Politècnica de València, 2004-04-01)
[EN] Up to homeomorphism, there are 9 topologies on a three point set {a, b, c}. Among the resulting topological spaces we have the so called Davey space, where the only non-trivial open set is, let us say, {a}. This is ...