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This is a real analysis topic Question regarding uniform continuity and metric spaces. Is it possible for a function to be uniformly continuous on Q
This is a real analysis topic
Question regarding uniform continuity and metric spaces.
Is it possible for a function to be uniformly continuous on Q (or a subset of Q), but not uniformly continuous on R (or the corresponding subset of R)? Any examples? I think the reverse "uniformly continuous on R but not Q" is false because Q is a subset of R. But I wonder about the former statement.
Thanks!
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