Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661166 | Topology and its Applications | 2007 | 11 Pages |
Abstract
An Arzelà–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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology