Garrido, M. IsabelMontalvo, Francisco2023-06-202023-06-2019990049-4704https://hdl.handle.net/20.500.14352/58532Proceedings of the "I Congreso Hispano-Italiano de Topología General y sus Aplicaciones",Gandia, June 19–21, 1997We 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.engjournal articlehttp://rendiconti.dmi.units.it/node/4/4200http://www.dmi.units.it/restricted access515.1uniform approximationuniform closure and 2-unite coverTopología1210 Topología