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arXiv · 1712.09160

Universally uniformly continuous metric spaces

Katrina Gensterblum·Peikai Qi·Willie Wong
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Abstract

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."

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Katrina Gensterblum, Peikai Qi, Willie Wong. 2018-01-02. Universally uniformly continuous metric spaces. https://arxiv.org/abs/1712.09160

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