On the construction of domains of formal balls for uniform spaces
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http://dx.doi.org/10.1016/j.topol.2014.02.015 |
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Títol
On the construction of domains of formal balls for uniform spacesData de publicació
2014-05Cita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0166864114000753Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Topology and its Applications Volume 168, 15 May 2014Drets d'accés
Copyright © 2014 Elsevier B.V. All rights reserved.
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