We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff ...
[EN] Let X be a continuum and let n be a positive integer. We consider the hyperspaces Fn(X) and SFn(X). If m is an integer such that n > m ≥ 1, we consider the quotient space SFnm(X). For a given map f : X → X, we ...
Illanes, Alejandro; Martínez-de-la-Vega, Verónica(Universitat Politècnica de València, 2022-10-03)
[EN] Let X be a metric continuum and n ∈ N. Let Fn(X) be the hyperspace
of nonempty subsets of X with at most n points. If 1 ≤ m < n, we consider the quotient space Fnm(X) = Fn(X)/Fm(X). Given a mapping
f : X → X, we ...
Miranda, Annamaria(Universitat Politècnica de València, 2024-10-01)
[EN] In this paper we introduce some weak dynamical properties by using subbases for the phase space. Among them, the notion of light chaos is the most significant. Several examples, which clarify the relationships between ...