Baire category theorem: Difference between revisions

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==References==
==References==
* {{cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=200-201 }}
* {{cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=200-201 }}[[Category:Suggestion Bot Tag]]

Latest revision as of 16:01, 15 July 2024

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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, 200-201.