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May 25, 2020 at 23:40 comment added Robert Furber You may be interested in Oxtoby's book Measure and Category that goes through several parallel examples of theorems about measure and Baire category. Wojowu's answer explains the "category analogue" of Vitali's theorem.
May 25, 2020 at 17:18 history became hot network question
May 25, 2020 at 10:02 vote accept abx
May 25, 2020 at 9:55 answer added Wojowu timeline score: 19
May 25, 2020 at 9:38 comment added abx Very good, thanks! If you feel like writing this as an answer I'll accept it.
May 25, 2020 at 9:33 comment added Wojowu The family of sets satisfying the property of Baire is a sigma-algebra, in particular all Borel sets have this property. On the other hand, Vitali set does not have this property. This is a nice instance of Baire property being a convenient substitute of Lebesgue measurability in topological contexts.
May 25, 2020 at 9:31 history edited YCor
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May 25, 2020 at 9:15 history asked abx CC BY-SA 4.0