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August 2nd, 2012, 01:06 PM   #1
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Countability and completeness

1.- Does uncountable implies complete?
2.- Does complete implies uncountable?

Thanks in advance.
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August 2nd, 2012, 02:28 PM   #2
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Re: Countability and completeness

The two concepts are unrelated. Countability is a notion in set theory (no topology needed). Completeness is a concept involving "distance", defined in a metric space.
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