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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4345

Title: Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness
Authors: Künzi, Hans-Peter A.
Romaguera, Salvador
Issue Date: 1999
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Hans-Peter A. Künzi and S. Romaguera, "Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999) suppl., pp. 133-144.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl.
Abstract: We show that every locally compact quasi-metrizable Moore space admits a uniformly locally compact quasi-metric. We also observe that every equinormal quasi-metric is cofinally complete. Finally we prove that for any small-set symmetric quasi-uniform space, uniform local compactness is preserved by the Hausdorff-Bourbaki quasi-uniformity on compact sets. Several illustrative examples are given.
URI: http://hdl.handle.net/10077/4345
ISSN: 0049-4704
MS Classification: 54E35
54E45
54B20
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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