Countable covers and uniform closure



Downloads per month over past year

Garrido, M. Isabel and Montalvo, Francisco (1999) Countable covers and uniform closure. Rendiconti dell'Istituto di Matematica dell'Università di Trieste., 30 (suplem). pp. 91-102. ISSN 0049-4704

[thumbnail of Garrido11.pdf] PDF
Restringido a Repository staff only


Official URL:


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.

Item Type:Article
Additional Information:

Proceedings of the "I Congreso Hispano-Italiano de Topología General y sus Aplicaciones",Gandia, June 19–21, 1997

Uncontrolled Keywords:uniform approximation, uniform closure and 2-unite cover
Subjects:Sciences > Mathematics > Topology
ID Code:21630
Deposited On:31 May 2013 14:51
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page