On the construction of domains of formal balls for uniform spaces
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Other documents of the author: 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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Title
On the construction of domains of formal balls for uniform spacesDate
2014-05Bibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0166864114000753Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 2014Rights
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- MAT_Articles [749]