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arxiv: 1712.09160 · v2 · pith:PYPRI77Inew · submitted 2017-12-26 · 🧮 math.GN

Universally uniformly continuous metric spaces

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keywords continuousmetricspacesuniformlyanswerapplicablecharacterizationdimensional
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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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