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Borel complete

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Émile Borel

French mathematician (1871–1956)

Not to be confused with Armand Borel.

Félix Édouard Justin Émile Borel (French:[bɔʁɛl]; 7 January 1871 – 3 February 1956)^[1] was a Frenchmathematician^[2] and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability.

Biography

Borel was born in Saint-Affrique, Aveyron, the son of a Protestant pastor.^[3] He studied at the Collège Sainte-Barbe and Lycée Louis-le-Grand before applying to both the École normale supérieure and the École Polytechnique. He qualified in the first position for both and chose to attend the former institution in 1889. That year he also won the concours général, an annual national mathematics competition. After graduating in 1892, he placed first in the agrégation, a competitive civil service examination leading to the position of professeur agrégé. His thesis, published in 1893, was titled Sur quelques points de la théorie des fonctions ("On some points in the theory of functions"). That year, Borel st

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Borel, Félix Édouard Justin Émile (1871–1956)

Émile Borel was born on January 7, 1871 in France. He taught at Ecole Normale Supérieure in Paris and later at the Sorbonne. Following his academic career, Borel served in the French government in the Chamber of Deputies and later as Minister of the Navy. He was arrested and imprisoned briefly during the Vichy government of World War II. Borel was awarded the Croix de Guerre in 1918, the Resistance Medal in 1945, and the Grand Croix Legion d'Honneur in 1950.

Émile Borel made fundamental contributions in set theory, measure theory, and functional analysis. He also contributed to the theory of divergent series and to game theory. In probability theory, Borel's name, along with Francesso Cantelli, is linked to the famous Borel-Cantelli lemmas that give conditions for the occurrence of infinitely many events to have probability 0 or 1.

Borel died on February 3, 1956 in Paris, France

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Biographies
Borel

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Borel, Pierre

1. Dates: Born: Castres (Languedoc), ca 1620; Died: Paris, 1671; Dateinfo: Birth Uncertain; Lifespan: 51
2. Father: Occupation: No Information; No information on financial status.
3. Nationality: Birth: Castres, Languedoc, France; Career: France; Death: Paris, France
4. Education: Schooling: Montpelier; M.D.; Borel studied medicine at Montpellier and obtained M.D. in 1641. I assume a B.A. or its equivalent.
5. Religion: Affiliation: Calvinist; He was evidently the regent of the Huguenot college of Castres. His death was entered in a Huguenot register.
6. Scientific Disciplines: Primary: Medicine, Botany, Chemistry; Borel is credited with the first description of brain concussions. Among his original contributions to medicine are the statement that cataract is a darkening of the crystalline lens and the recommendation of the use of concave mirrors in diagnostic examination of nose and throat.; He also wrote books on history of science.
7. Means of Support: Primary: Medicine, Patronage; Borel p