Garrido, M. IsabelMontalvo, Francisco2023-06-202023-06-202004-02-280166-864110.1016/S0166-8641(03)00206-2https://hdl.handle.net/20.500.14352/50646IV Iberoamerican Conference on Topology and its ApplicationsLet X be a set and F a family of real-valued functions on X. We denote by μFX the space X endowed with the weak uniformity given by F. In this paper we provide a method of generating the set U(μFX), of all uniformly continuous real functions on μFX, by means of the family F. In order to do that we need to study the uniform approximation of real uniformly continuous functions on subsets of Rn. As a consequence, we give an internal condition on F in order to be uniformly dense in U(μFX).engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0166864103002062http://www.sciencedirect.comrestricted access517.518515.1Uniform spacesUniform densityAnálisis funcional y teoría de operadoresTopología1210 Topología