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#vitali_covering_lemma

Vitali covering lemma

Combinatorial and geometric result used in measure theory of Euclidean spaces

In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. This lemma is an intermediate step, of independent interest, in the proof of the Vitali covering theorem. The covering theorem is credited to the Italian mathematician Giuseppe Vitali. The theorem states that it is possible to cover, up to a Lebesgue-negligible set, a given subset E of Rd by a disjoint family extracted from a Vitali covering of E.

Wed 19th

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Vitali covering lemma Lemma (mathematics) List of lemmas Covering theorem Hardy–Littlewood maximal function Lebesgue differentiation theorem Dyadic cubes Besicovitch covering theorem Marcinkiewicz interpolation theorem List of things named after Henri Lebesgue
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