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August 2nd, 2012, 01:06 PM  #1 
Newbie Joined: Aug 2012 Posts: 1 Thanks: 0  Countability and completeness
1. Does uncountable implies complete? 2. Does complete implies uncountable? Thanks in advance. 
August 2nd, 2012, 02:28 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,756 Thanks: 695  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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completeness, countability 
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