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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

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Restringido a Repository staff only 206kB |

Official URL: http://rendiconti.dmi.units.it/node/4/4200

## Abstract

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 |
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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 |

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