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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4347

Title: Cofinal bicompletenessand quasi-metrizability
Authors: Pérez-Peñalver, M.J.
Romaguera, Salvador
Keywords: cofinally bicomplete
locally compact
quasiuniformity
quasi-metric
uniformly locally compact
Issue Date: 1999
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: M.J. Pérez-Peñalver and S. Romaguera, "Cofinal bicompletenessand quasi-metrizability", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999) suppl., pp. 165-172.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl.
Abstract: We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally bicomplete quasi-metrics. We observe that the finest quasi-uniformity of any quasi-pseudometrizable bitopological space is cofinally bicomplete and characterize those quasi-pseudometrizable bitopological spaces which admit a cofinally bicomplete quasi-pseudometric. A necessary and sufficient condition for cofinal bicompleteness of quasi-pseudometrizable to-pological spaces is derived. Finally, quasi-metrizable bitopological spaces whose supremum topology is locally compact are characterized.
URI: http://hdl.handle.net/10077/4347
ISSN: 0049-4704
MS Classification: 54E55
54E50
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999) s.

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