Generation of the uniformly continuous functions
| dc.contributor.author | Garrido, M. Isabel | |
| dc.contributor.author | Montalvo, Francisco | |
| dc.date.accessioned | 2023-06-20T10:34:58Z | |
| dc.date.available | 2023-06-20T10:34:58Z | |
| dc.date.issued | 2004-02-28 | |
| dc.description | IV Iberoamerican Conference on Topology and its Applications | |
| dc.description.abstract | 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). | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21377 | |
| dc.identifier.doi | 10.1016/S0166-8641(03)00206-2 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0166864103002062 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50646 | |
| dc.issue.number | 1-3 | |
| dc.journal.title | Topology and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 174 | |
| dc.page.initial | 167 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | PB96-1262 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.518 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Uniform spaces | |
| dc.subject.keyword | Uniform density | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Generation of the uniformly continuous functions | |
| dc.type | journal article | |
| dc.volume.number | 137 | |
| dcterms.references | Á. Császár, On approximation theorems for uniform spaces, Acta Math. Acad. Sci. Hungar. 22 (1971) 177–186. Á. Császár, J. Czipszer, Sur des critères généraux d’approximation uniforme, Ann. Univ. Sci. Budapest Sect. Math. 6 (1963) 17–26. I. Garrido, F. Montalvo, Algebraic properties of the uniform closure of Spaces of Continuous Functions, in: Papers on General Topology and Applications, Annals of the New York Academy of Sciences, vol. 788, 1996, pp. 101–107. I. Garrido, F. Montalvo, Some density results for uniformly continuous functions, Topology Appl. 77 (1997) 131–137. I. Garrido, F. Montalvo, Countable covers and uniform closure, Rend. Istit. Mat. Univ. Trieste 30 (1999 91–102. A.W. Hager, Approximation theorems for uniformly continuous functions, Trans. Amer. Math. Soc. 236 (1978) 263–273. J.R. Isbell, Algebras of uniformly continuous functions, Ann. Math. 68 (1) (1958) 96–125. W. Maak, Eine Verallgemeinerung des Weierstrasschen Approximationssatzes, Arch. Math. 6 (1955) 188–193. G. Nöbeling, H. Bauer, Allgemeine Approximationskriterien mit Anwendungen, Jber. Deutsch. Math. Verein 58 (1955) 54–72. | |
| dspace.entity.type | Publication |
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