On the construction of domains of formal balls for uniform spaces
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Otros documentos de la autoría: Romaguera, S.; Sánchez Granero, M. A.; Sanchis López, Manuel
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http://dx.doi.org/10.1016/j.topol.2014.02.015 |
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Título
On the construction of domains of formal balls for uniform spacesFecha de publicación
2014-05Cita bibliográfica
ROMAGUERA, S.; SÁNCHEZ-GRANERO, M. A.; SANCHIS, M. On the construction of domains of formal balls for uniform spaces. Topology and its Applications, 2014, 168: 125-134.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0166864114000753Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, ... [+]
In the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, which extend to the uniform framework the corresponding ones of metric spaces. In particular, to show under what conditions this poset is a dcpo we introduce and discuss a weak notion of uniform completeness. Some illustrative examples are also given. [-]
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Topology and its Applications Volume 168, 15 May 2014Derechos de acceso
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