Bicompleting weightable quasi-metric spaces and partial metric spaces |
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Authors: | S Oltra S Romaguera E A Sánchez-Pérez |
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Institution: | (1) Escuela de Caminos Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain |
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Abstract: | We show that the bicompletion of a weightable quasi-metric space is a weightable quasi-metric space. From this result we deduce
that any partial metric space has an (up to isometry) unique partial metric bicompletion. Some other consequences are derived.
In particular, applications to two interesting examples of partial metric spaces which appear in Computer Science, as the
domain of words and the complexity space, are given.
The second and third listed authors are partially supported by grants from Spanish Ministry of Science and Technology, BFM
2000-III, and Polytechnical University of Valencia. |
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Keywords: | AMS (2000) Subject classification" target="_blank">AMS (2000) Subject classification 54-04 54E50 54C30 68Q25 68Q55 |
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