| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398553 |
| ISSN: | 0037-8712 |
| Authors: | Tallafha, Abdalla1 |
| Institutions: | 1University of Jordan, Department of Mathematics, Ammán. Jordania |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 2 |
| Pages: | 9-14 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Topología, Espacios uniformes, Espacios topológicos, Teoría de la aproximación |
| Keyword: | Mathematics, Pure mathematics, Topology, Uniform spaces, Topological spaces, Approximation theory |
| Full text: | Texto completo (Ver PDF) |
