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...

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...

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...

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...

"Vera" Vitali (born 3 October 1981) is a Swedish actress and playwright, who stars as Lisa in the drama series Bonus Family. Anna Vera Vitali was born...

assigned a meaningful "volume" Outer measure – Mathematical function Vitali set – Set of real numbers that is not Lebesgue measurable Pugh, Charles C. Real...

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...

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

space are Lebesgue measurable; examples of such sets include the Vitali set, and the non-measurable sets postulated by the Hausdorff paradox and the Banach–Tarski...

} 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...

for subsets of the real line, then there exist sets for which no size exists, for example, the Vitali sets. For this reason, one considers instead a smaller...

Vitali, Vitalii, Vitaly, Vitaliy and may refer to: Vitaly Borker (born 1975 or 1976), Ukrainian American Internet fraudster and cyberbully Vitaly Churkin...

{\displaystyle A} is a non-measurable subset of the real line, such as the Vitali set. Then the λ 2 {\displaystyle \lambda ^{2}} -measure of { 0 } × A {\displaystyle...

interval [0;1] has measure 1. There exist sets of real numbers that are not Lebesgue measurable, e.g. Vitali sets. The supremum axiom of the reals refers...

there are sets of reals without the property of Baire. In particular, the Vitali set does not have the property of Baire. Already weaker versions of choice...

Vitali (7 March 1663 – 9 May 1745) was an Italian composer and violinist of the mid to late Baroque era. The eldest son of Giovanni Battista Vitali,...

variation Radon–Nikodym theorem Fubini's theorem Double integral Vitali set, non-measurable set Henstock–Kurzweil integral Amenable group Banach–Tarski paradox...

Lennox Lewis vs. Vitali Klitschko, billed as Battle of the Titans, was a heavyweight professional boxing match contested between WBC, IBO, and The Ring...

f = 1 V − 1 2 , {\displaystyle f=1_{V}-{\frac {1}{2}},} where V is a Vitali set, it is clear that f is not measurable, but its absolute value is, being...

if and only if it is measurable, so for every such function there is a Vitali set. The construction of f relies on the axiom of choice. This example can...

defence against former champion Vitali Klitschko, who was returning from an almost four year retirement. Klitschko had been set for a tune up bout with Jameel...

1, the representative sequences form a non-measurable set. (This set is similar to a Vitali set, the only difference being that equivalence classes are...

Dominetta Vitali, known simply as Domino, is a fictional character and the main Bond girl in the James Bond novel Thunderball. For the 1965 film adaptation...

Vitali Yuryevich Kravtsov (Russian: Виталий Юрьевич Кравцов, IPA: [vʲɪˈtalʲɪj ˈjʉrʲjɪvʲɪtɕ ˈkraftsəf]; born 23 December 1999) is a Russian professional...

in G. Cosets of Q in R are used in the construction of Vitali sets, a type of non-measurable set. Cosets are central in the definition of the transfer...

Vitali Arujau (Belarusian: Віталій Аруджаў; Azerbaijani: Vitali Orucov; born June 1, 1999) is an American freestyle and former folkstyle wrestler who...

and measures Ring of sets – Family closed under unions and relative complements σ-algebra – Algebraic structure of set algebra Vitali–Hahn–Saks theorem Durrett...