RT Journal Article
T1 Generation of the uniformly continuous functions
A1 Garrido, M. Isabel
A1 Montalvo, Francisco
AB Let 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).
PB Elsevier Science
SN 0166-8641
YR 2004
FD 2004-02-28
LK https://hdl.handle.net/20.500.14352/50646
UL https://hdl.handle.net/20.500.14352/50646
LA eng
NO IV Iberoamerican Conference on Topology and its Applications
NO DGES
DS Docta Complutense
RD 13 abr 2025