Some properties of semi-linear uniform spaces



Título del documento: Some properties of semi-linear uniform spaces
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000398553
ISSN: 0037-8712
Autores: 1
Instituciones: 1University of Jordan, Department of Mathematics, Ammán. Jordania
Año:
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
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