Universally uniformly continuous metric spaces
| Autor: | Gensterblum, Katrina, Qi, Peikai, Wong, Willie |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We answer the question: "on which metric spaces $(M,d)$ are all continuous functions uniformly continuous?" Our characterization theorem improves and generalizes a previous result due to Levine and Saunders, and in particular is applicable to metric spaces which are "infinite dimensional." Comment: Fall 2017 undergraduate research project for the first and second named authors. After posting to arXiv, it was brought to our attention that the results proven herein are not new; we thank Subiman Kundu for this information, which we also acknowledged in V2 of this posting |
| Databáze: | arXiv |
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