mathematics, a Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable, found by Giuseppe Vitali in 1905. The Vitali theorem...

Lebesgue-measurable. ZFC proves that non-measurable sets do exist; an example is the Vitali sets. The first part of the definition states that the subset...

most notably the Vitali set with which he was the first to give an example of a non-measurable subset of real numbers. Giuseppe Vitali was the eldest of...

organized crime was depicted in film and television,[citation needed] Vitali set about creating his own TV series. Largely financed by his own money, the...

functions, such as Vitali convergence theorem Vitali also proved the existence of non-measurable subsets of the real numbers, see Vitali set This disambiguation...

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. There are two basic versions...

} In this topology, a set U {\displaystyle U} is a neighborhood of + ∞ {\displaystyle +\infty } if and only if it contains a set { x : x > a } {\displaystyle...

Кличко́ [wiˈtɑl⁽ʲ⁾ij woloˈdɪmɪrowɪtʃ klɪtʃˈkɔ]; born 19 July 1971), known as Vitali Klitschko, is a Ukrainian politician and former professional boxer. He serves...

choice is not needed to well-order them. The following construction of the Vitali set shows one way that the axiom of choice can be used in a proof by transfinite...

within standard set theory. The first indication that there might be a problem in defining length for an arbitrary set came from Vitali's theorem. A more...