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Let $(X,d)$ be a metric space. Which of the following is possible?

  1. $X$ has exactly 3 dense subsets.

  2. $X$ has exactly 4 dense subsets.

  3. $X$ has exactly 5 dense subsets.

  4. $X$ has exactly 6 dense subsets.

I've absolutely no clue as to how to tackle this problem.

Mathronaut
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0 Answers0