|
Título:
|
Countable covers and uniform closure
|
|
Autores:
|
Garrido, M. Isabel ;
Montalvo, Francisco
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Topología
,
Tipo = Artículo
|
|
Resumen:
|
We present, in a unified way, several results of uniform approximation for real-valued continuous and uniformly continuous functions on a space X . We obtain all of them by applying a general method of proof that involves a certain kind of countable covers of X , the so-called 2-finite covers. For instance, if X is endowed with the weak uniformity given by a vector lattice F of real-valued functions on X containing all the real constant functions then, using that method, we characterize the uniform density of F only in terms of the family F , thus improving a previous result in this line.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/21630/1/Garrido11.pdf
|
