Is it true that in a Baire Space the intersection of two comeager sets is not empty? If yes, is the intersection comeager too?
2026-03-27 16:47:06.1774630026
The intersection of comeager sets in a Baire Space
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Yes, both are true, because the union of countably many meagre sets is meagre: it’s still the union of countably many nowhere dense sets.