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 ...
Dolecki, Szymon; Mynard, Frédéric(Universitat Politècnica de València, 2003-10-01)
[EN] The hyperconvergence (upper Kuratowski convergence) is the coarsest convergence on the set of closed subsets of a convergence space that makes the canonical evaluation continuous. Sundry reective and coreective ...
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 ...
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 ...
Holá, L'Ubica; Pelant, Jan; Zsilinszky, László(Universitat Politècnica de València, 2003-10-01)
[EN] Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a Gδ-diagonal in the hyperspace setting is ...