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The bicompletion of fuzzy quasi-metric spaces
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Título:
The bicompletion of fuzzy quasi-metric spaces
Autor:
Castro Company, Francisco; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro
Resumen:
Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced by its bicompletion. © 2010 Elsevier B.V.
URI:
http://hdl.handle.net/10251/46730
Fecha:
2011-03-16
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