推 chipai :2^x 09/20 18:48
http://en.wikipedia.org/wiki/Uniform_continuity
It is easy to see that every uniformly continuous function is Cauchy-continuous
and thus extends to X. However, for functions defined on unbounded spaces like
R, uniform continuity is a rather strong condition.
請問有沒有人可以給我Cauchy-continuous但不uniformly continuous的反例，謝謝。
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