2024-03-29T14:00:26Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1254062021-06-10T14:22:06Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Romaguera, S.
author
Sánchez Granero, M. A.
author
Sanchis López, Manuel
2015-06-30T09:01:55Z
2015-06-30T09:01:55Z
2014-05
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.
http://hdl.handle.net/10234/125406
http://dx.doi.org/10.1016/j.topol.2014.02.015
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.
eng
Copyright © 2014 Elsevier B.V. All rights reserved.
uniform space
formal ball
weakly complete
continuous poset
weightable quasi-uniform structure
On the construction of domains of formal balls for uniform spaces
info:eu-repo/semantics/article
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