An asymmetric Arzelà-Ascoli theorem |
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| Authors: | Julia Collins |
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| Institution: | a University of Edinburgh, School of Mathematics, Edinburgh EH9 3JZ, UK
b Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK |
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| 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. |
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| Keywords: | 26A15 |
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