Is it possible to use Baire's theorem to prove that the set of rational numbers isn't a countable intersection of open sets?

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- Feb 8th 2010, 02:58 AMJoachimAgrell[SOLVED] Rationals and countable intersection of open sets
Is it possible to use Baire's theorem to prove that the set of rational numbers isn't a countable intersection of open sets?

- Feb 8th 2010, 07:16 PMJoachimAgrell
I found the answer in this wikipedia article. Here it is:

Quote:

Originally Posted by**Wikipedia**