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 ...