Naimpally, Somashekhar(Universitat Politècnica de València, 2002-04-01)
[EN] We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance. This representation is useful in the study of comparison of the ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2003-10-01)
[EN] Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and ...
Rodríguez-López, Jesús(Universitat Politècnica de València, 2001-04-01)
[EN] We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the ...
Di Caprio, Debora; Watson, Stephen(Universitat Politècnica de València, 2003-10-01)
[EN] Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the ...
Constantini, Camillo; Kubís, Wieslaw(Universitat Politècnica de València, 2003-10-01)
[EN] We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily ...
[EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, ...