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• 14:53, 7 November 2025 ArianTazwer talk contribs created page Category (topology) (Created page with "{{For|the concept in set theory|Baire space (set theory)}} {{short description|Concept in topology}} In mathematics, a topological space <math>X</math> is said to be a '''Baire space''' if countable unions of closed sets with empty interior also have empty interior.{{sfn|Munkres|2000|p=295}} According to the Baire category theorem, compact Hausdorff spaces and complete metric spaces are examples of Baire spaces. The Bai...")