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Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness
Künzi, Hans-Peter A.
Romaguera, Salvador
1999
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl.
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
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.
Languages
en
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