Vitali set
In mathematics, the Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable. The Vitali theorem is the existence theorem that there are such sets. It is a non-constructive result. The naming is for Giuseppe Vitali.
Related Topics:
Mathematics - Real number - Lebesgue measurable - Existence theorem - Giuseppe Vitali
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Despite the terminology, there are many Vitali sets. Their existence is proved using the axiom of choice, and for reasons too complex to discuss here, Vitali sets are impossible to describe explicitly.
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~ Table of Content ~
| ► | Introduction |
| ► | The importance of non-measurable sets |
| ► | Construction and proof |
| ► | See also |
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