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In mathematics, a Borel set is any set in a topological space that can be formed from open sets through the operations of countable union, countable intersection, and relative complement. Borel sets are named after Émile Borel.
In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states:
Félix Édouard Justin Émile Borel was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability.
Armand Borel was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced Study in Princeton, New Jersey, United States from 1957 to 1993. He worked in algebraic topology, in the theory of Lie groups, and was one of the creators of the contemporary theory of linear algebraic groups.
In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the general linear group GLn, the subgroup of invertible upper triangular matrices is a Borel subgroup.
Pascal Borel is a German football coach and former player who played as a goalkeeper. In 1999, Borel earned two caps for Germany at the U21 level.
Felice Placido Borel was an Italian football player who played as a striker. He was a member of the Italy national football team that won the 1934 FIFA World Cup.
Calvin H. Borel is an American jockey in thoroughbred horse racing and rode the victorious mount in the 2007 Kentucky Derby, the 2009 Kentucky Derby and the 2010 Kentucky Derby. His 2009 Derby win with Mine That Bird was the third biggest upset in Derby history,, and Borel's winning margin of 6+3⁄4 lengths was the greatest in Derby history since Assault won by 8 lengths in 1946. On May 1, 2009, Borel won the Kentucky Oaks aboard Rachel Alexandra, only the second time since 1993 that a jockey has won the Oaks-Derby combo, and just the seventh time overall a jockey has accomplished this feat in the same year. On May 16, 2009, Borel won the 2009 Preakness Stakes at Pimlico with thoroughbred filly Rachel Alexandra. In doing so, Borel became the first jockey to win the first two jewels of the Triple Crown on different mounts. Borel's nickname is "Bo'rail'" due to his penchant for riding close to the rail to save ground.
50 to 1 is a 2014 American drama film based on the true story of Mine That Bird, an undersized thoroughbred racehorse who won the 2009 Kentucky Derby in one of the biggest upsets in the history of the race. The film received a limited release on March 21, 2014. It was directed by Jim Wilson, who also co-wrote the script with Faith Conroy, and stars Skeet Ulrich, Christian Kane and William Devane. Jockey Calvin Borel, who rode Mine that Bird to his upset Derby win, plays himself in the film.
Ernest Borel is a watch manufacturer founded in 1856 in Neuchatel, Switzerland. They have traditionally focused on export markets outside Europe and won several awards in the late 19th century, including first place in the 1866 Neuchatel observatory timing accuracy competition. This was viewed by the company as an important marketing strategy for increasing the brand's value, since the Neuchatel observatory was famed at the time for its timekeeping accuracy.
Perry Suckling is an English former footballer who played as a goalkeeper and is currently academy and goalkeeping coach at Tottenham Hotspur.
Anarchic System was a French pop group formed in the early 1970s.
Mine That Bird is a champion American Thoroughbred racehorse who won the 2009 Kentucky Derby at 50-1 odds and came second in the Preakness Stakes and third in the Belmont Stakes. He had earnings of $2,228,637 and was inducted into the Canadian Horse Racing Hall of Fame in 2015.
Aldo Giuseppe Borel was a French professional footballer who played as a midfielder.
The Borel distribution is a discrete probability distribution, arising in contexts including branching processes and queueing theory. It is named after the French mathematician Émile Borel.
Nego do Borel, artistic name of Leno Maycon Viana Gomes, is a Brazilian singer of funk ostentação, songwriter and actor. He is known for hits "Os Cara do Momento", "Diamante de Lama", "Bonde dos Brabos" and "Você Partiu Meu Coração", with Wesley Safadão and Anitta. Currently he has two albums released by Sony Music. Nego do Borel was the sixth Brazilian artist to enter the US Billboard Hot 100.
Damien Borel is an American football defensive lineman who is currently a free agent. He attended Woodland High School and Butte College. In 2012, while at Butte, he tallied 69 tackles and 19 sacks. Borel's 19 sacks led all California Community College Athletic Association players in 2012.
Ernesto Borel, was an Italian professional footballer who played as a forward.
Douglas do Espírito Santos Torres, commonly known as Douglas Borel, is a Brazilian professional footballer who plays as a right-back for Chapecoense, on loan from Bahia.
The Institut National du Football de Vichy, more commonly known as INF Vichy, was a football academy based in Vichy, France. Founded in 1972 by the French Football Federation, it was dissolved in 1990. The academy had a team that competed in the Division 3.
References
- ↑ Christian Borel at FootballDatabase.eu
- ↑ Christian Borel at WorldFootball.net
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