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 ...
Ali Akbar, Kamaludheen; Mubeena, T.(Universitat Politècnica de València, 2022-10-03)
[EN] In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results ...
[EN] In this article we study a class of Euler equations of compressible fluid dynamics. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main ...
García, Gonzalo(Universitat Politècnica de València, 2022-10-03)
[EN] In the present paper we introduce a generalization of the complete
invariance property (CIP) for metric spaces, which we will call the εapproximated complete invariance property (ε-ACIP). For our goals, we
will use ...