Vitali’s Theorem
There exists a set which is not Lebesgue measurable.
Notice that this result requires the Axiom of Choice
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| Title | Vitali’s Theorem |
|---|---|
| Canonical name | VitalisTheorem |
| Date of creation | 2013-03-22 13:45:47 |
| Last modified on | 2013-03-22 13:45:47 |
| Owner | paolini (1187) |
| Last modified by | paolini (1187) |
| Numerical id | 5 |
| Author | paolini (1187) |
| Entry type | Theorem |
| Classification | msc 28Axx |
| Synonym | existence of non measurable sets |
| Related topic | Integral2 |
| Related topic | LebesgueMeasure |
| Related topic | PsuedoparadoxInMeasureTheory |
| Related topic | ExampleOfFunctionNotLebesgueMeasurableWithMeasurableLevelSets |