Baire category theorem: Difference between revisions
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Revision as of 15:59, 3 January 2009
In general topology, the Baire category theorem states that a non-empty complete metric space is a second category space: that is, it is not a countable union of nowhere dense sets (sets whose closure have empty interior).
References
- J.L. Kelley (1955). General topology. van Nostrand.