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math.GN2021
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…
math.GN2021
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 $…