Topologically inseparable functions I: Finitary case

Thumbnail
URI:
https://hdl.handle.net/10925/751
Carrera:
Pedagogía Media en Matemática - Plan Común Ingeniería
Facultad:
Facultad de Ingeniería
Fecha de publicación:
2012-02-25
Datos de publicación:
Semigroup Forum, Vol. 66, N°1, 18-42, 2003
Temas:
Algebra - Funciones algebraicas
Collections
Resumen:
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.

Recursos relacionados