Topologically inseparable functions I: Finitary case
Topologically inseparable functions I: Finitary case
Authors
Cartagena, O.
Lewin, R.A.
Rubilar, O.
Lewin, R.A.
Rubilar, O.
Authors
Date
2012-02-25
Datos de publicación:
Semigroup Forum, Vol. 66, N°1, 18-42, 2003
Keywords
Algebra - Funciones algebraicas
Collections
Abstract
Given a finite set A and a distinguished function f: A → A, we study the set of all functions g: A → A that are continuous for all topologies for which f is continuous. The main result is a characterization of the functions f such that this set is trivial, that is, contains only the constant functions and the iterates of f.