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Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999) s. >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4345
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| 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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