41 citations · 41 across the 4 of their papers we have counts for
5 papers · 1 filter
Some notes on induced functions and group actions on hyperspaces
Victor Donjuán, Natalia Jonard-Pérez, Ananda López-Poo
We discuss the problem of when a continuous map between topological spaces induces a continuous function between their respective hyperspaces. We characterize the continuity of the…
A Jordan Curve Theorem for 2-dimensional Tilings
Diego Fajardo-Rojas, Natalia Jonard-Pérez
The classical Jordan curve theorem for digital curves asserts that the Jordan curve theorem remains valid in the Khalimsky plane. Since the Khalimsky plane is a quotient space of $…
Separation axioms and covering dimension of asymmetric normed spaces
Victor Donjuán, Natalia Jonard-Pérez
In this paper, we approach the question if some of the separation axioms are equivalent in the class of asymmetric normed spaces. In particular, we make a remark on a known theorem…
Local compactness in right bounded asymmetric normed spaces
Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the relation of this property with the natural compactness properties of the unit ball,…
Compact convex sets in 2-dimensional asymmetric normed lattices
Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez
We study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a co…