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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (1999) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4333
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| Title: | The representation of weighted quasimetric spaces |
| Authors: | Vitolo, Paolo |
| Keywords: | weighted quasi-metric space
quasi-metric
weight function
generalized weight function
metric space |
| Issue Date: | 1999 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | Paolo Vitolo, "The representation of weighted quasimetric spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 95-100. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999) |
| Abstract: | We show that every weighted quasi-metric space can
be identified with a subspace of a space of some canonical type,
which is constructed from a metric space.
We also present a very simple method to construct a weighted
quasi-metric space, as the graph of a function defined on a metric
space, and show that every weighted quasi-metric space arises in
this way.
Similar results may be obtained if we drop the requirement that
the weight function have nonnegative values. |
| URI: | http://hdl.handle.net/10077/4333 |
| ISSN: | 0049-4704 |
| MS Classification: | 54E99
54E35 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (1999)
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