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arXiv 2017-12-26 1 views

Universally uniformly continuous metric spaces

Gensterblum, Katrina · Qi, Peikai · Wong, Willie

Original · EN

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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