Topologically inseparable functions I: Finitary case
- 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
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- 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.
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