Giuseppe Vitali was an Italian mathematician, born on 26 August 1875 and died on 29 February 1932, who worked in several branches of mathematical analysis. He gives his name to several entities in mathematics, most notably the Vitali set, with which he was the first to give an example of a non-measurable subset of the real numbers. A non-measurable set is one to which no consistent notion of length or size can be assigned, and Vitali's example showed that such sets exist, which is why the theory of measure has to restrict the sets it treats.
Facts
Connections
Attributed Works
Source Cantor Function (Wikipedia)
In Branch
Source Giuseppe Vitali (Wikipedia)
Source Giuseppe Vitali (Wikipedia)
Proofs Credited
Source Vitali convergence theorem (Wikipedia)
Source Vitali covering lemma, Wikipedia
In the Other Atlases
- Also in Geography Atlas: Italy, nationality there.
Sources
1. Giuseppe Vitali (Wikipedia)
Lead paragraph
He gives his name to several entities in mathematics, most nota
Lead paragraph [nationality-culture]
was an Italian mathematician
In Branch: Analysis, Lead paragraph [in-branch]
mathematical analysis
In Branch: Measure Theory, Lead paragraph [in-branch 2]
non-measurable subset of real numbers
View the SourceVitali covering lemma, Wikipedia
Proofs Credited: Vitali Covering Theorem, Lead paragraphQuote, Proofs Credited: Vitali Covering Theorem, Lead paragraph
In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. This lemma is
Vitali convergence theorem (Wikipedia)
Proofs Credited: Vitali Convergence Theorem, Lead paragraphQuote, Proofs Credited: Vitali Convergence Theorem, Lead paragraph
In real analysis and measure theory, the Vitali convergence theorem, named after the Italian mathematician Giuseppe Vitali, is a generalization of the better-known dominated
Cantor Function (Wikipedia)
Attributed Works: Cantor Function, Lead paragraphQuote, Attributed Works: Cantor Function, Lead paragraph
called the Cantor ternary function, the Lebesgue function, Lebesgue's singular function, the Cantor-Vitali function, the Devil's staircase, the Cantor staircase function, and the Cantor-Lebesgue function. Georg Cantor (1884) introduced
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.