On quasi-metric and metric spaces
| Autor: | Krzysztof Stempak, Maciej Paluszynski |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. 137:4307-4312 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-09-10058-8 |
| Popis: | Given a space X X with a quasi-metric ρ \rho it is known that the so-called p p -chain approach can be used to produce a metric in X X equivalent to ρ p \rho ^p for some 0 > p ≤ 1 0>p\le 1 , hence also a quasi-metric ρ ~ \tilde {\rho } equivalent to ρ \rho with better properties. We refine this result and obtain an exponent p p which is, in general, optimal. |
| Databáze: | OpenAIRE |
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