Félix Édouard Justin Émile Borel (French: [bɔʁɛl]; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he...

complement. Borel sets are named after Émile Borel. For a topological space X, the collection of all Borel sets on X forms a σ-algebra, known as the Borel algebra...

In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements...

theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco...

event of probability zero (also known as a null set). It is named after Émile Borel and Andrey Kolmogorov. Suppose that a random variable has a uniform distribution...

Simon (1978, p. 38) In mathematics, Borel summation is a summation method for divergent series, introduced by Émile Borel (1899). It is particularly useful...

is an application of the maximum modulus principle. It is named for Émile Borel and Constantin Carathéodory. Let a function f {\displaystyle f} be analytic...

Borel algebra, operating on Borel sets, named after Émile Borel, also: Borel measure, the measure on a Borel algebra Borel distribution, a discrete probability...

In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations...

started his graduate studies at the Sorbonne, where he learned about Émile Borel's work on the incipient measure theory and Camille Jordan's work on the...