RT Journal Article
T1 Countable covers and uniform closure
A1 Garrido, M. Isabel
A1 Montalvo, Francisco
AB 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.
PB Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
SN 0049-4704
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/58532
UL https://hdl.handle.net/20.500.14352/58532
LA eng
NO Proceedings of the "I Congreso Hispano-Italiano de Topología General y sus Aplicaciones",Gandia, June 19–21, 1997
DS Docta Complutense
RD 7 abr 2025