| Revue: | Boletim da Sociedade Paranaense de Matematica |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000398553 |
| ISSN: | 0037-8712 |
| Autores: | Tallafha, Abdalla1 |
| Instituciones: | 1University of Jordan, Department of Mathematics, Ammán. Jordania |
| Año: | 2011 |
| Volumen: | 29 |
| Número: | 2 |
| Paginación: | 9-14 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | Semi-linear uniform space is a new space defined by Tallafha, A and Khalil, R in [3], the authors studied some cases of best approximation in such spaces, and gave some open problems in approximation theory in uniform spaces. Besides they defined a set valued map ρ on X × X and asked two questions about the properties of ρ. The purpose of this paper is to answer these questions. Besides we shall define another set valued map δ on X × X and give more properties of semi-linear uniform spaces using the maps ρ and δ. Also we shall give an example of a semi-linear uniform space which is not metrizable |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Topología, Espacios uniformes, Espacios topológicos, Teoría de la aproximación |
| Keyword: | Mathematics, Pure mathematics, Topology, Uniform spaces, Topological spaces, Approximation theory |
| Texte intégral: | Texto completo (Ver PDF) |
