Timeline for Topological proof that a Vitali set is not Borel
Current License: CC BY-SA 4.0
8 events
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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 |