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Talk:Complete metric space/Definition

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I believe to have seen examples of sequences converging to an element outside the space, and I seem to remember that this gives a non-complete space. But I work from memory, I haven't checked it.--Paul Wormer 08:55, 6 August 2008 (CDT)

That's correct, the limit has to lie in the space itself, that's what I meant with "the sequence converges". You're right that it's better to make it explicit. -- Jitse Niesen 10:17, 6 August 2008 (CDT)