Abstract
An Arzela-Ascoli theorem for asymmetric metric spaces (sometimes called quasi-metric spaces) is proved. One genuinely asymmetric condition is introduced, and it is shown that several classic statements fail in the asymmetric context if this assumption is dropped.
Original language | English |
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Pages (from-to) | 2312-2322 |
Number of pages | 11 |
Journal | Topology and Its Applications |
Volume | 154 |
Issue number | 11 |
Early online date | 3 Apr 2007 |
DOIs | |
Publication status | Published - 1 Jun 2007 |