For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions on X equipped with the topology of pointwise convergence and the compact-open topology respectively. Providing a ...
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 ...
Gálvez-Rodríguez, José; Sánchez-Granero, Miguel Ángel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this work we elaborate a theory of a cumulative distribution function on a Polish ultrametric space from a probability measure defined in this space. With that purpose, the idea is to define an order in the space ...
Gálvez-Rodríguez, José Fulgencio; Sánchez Granero, Miguel Ángel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this work we show how to define a probability measure with the
help of a fractal structure. One of the keys of this approach is to use
the completion of the fractal structure. Then we use the theory of a
cumulative ...