Guy Hirsch
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Guy Hirsch
Guy Hirsch (20 September 1915 – 4 August 1993) was a Belgian mathematician and philosopher of mathematics, who worked on algebraic topology and epistemology of mathematics. He became a member of the Royal Flemish Academy of Belgium for Science and the Arts in 1973. He is known for the Leray–Hirsch theorem, a basic result on the algebraic topology of fiber bundles that he proved independently of Jean Leray Jean Leray (; 7 November 1906 – 10 November 1998) was a French mathematician, who worked on both partial differential equations and algebraic topology. Life and career He was born in Chantenay-sur-Loire (today part of Nantes). He studied at Éc ... in the late 1940s. References External links * 1915 births Mathematicians from London 1993 deaths Belgian mathematicians Topologists Free University of Brussels (1834–1969) alumni Academic staff of the Free University of Brussels (1834–1969) British emigrants to Belgium {{europe-mathematician-stub ...
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London
London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a major settlement for two millennia. The City of London, its ancient core and financial centre, was founded by the Romans as '' Londinium'' and retains its medieval boundaries.See also: Independent city § National capitals The City of Westminster, to the west of the City of London, has for centuries hosted the national government and parliament. Since the 19th century, the name "London" has also referred to the metropolis around this core, historically split between the counties of Middlesex, Essex, Surrey, Kent, and Hertfordshire, which largely comprises Greater London, governed by the Greater London Authority.The Greater London Authority consists of the Mayor of London and the London Assembly. The London Mayor is distinguished fr ...
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Leray–Hirsch Theorem
In mathematics, the Leray–Hirsch theorem is a basic result on the algebraic topology of fiber bundles. It is named after Jean Leray and Guy Hirsch, who independently proved it in the late 1940s. It can be thought of as a mild generalization of the Künneth formula, which computes the cohomology of a product space as a tensor product of the cohomologies of the direct factors. It is a very special case of the Leray spectral sequence. Statement Setup Let \pi\colon E\longrightarrow B be a fibre bundle with fibre F. Assume that for each degree p, the singular cohomology rational vector space :H^p(F) = H^p(F; \mathbb) is finite-dimensional, and that the inclusion :\iota\colon F \longrightarrow E induces a ''surjection'' in rational cohomology :\iota^* \colon H^*(E) \longrightarrow H^*(F). Consider a ''section'' of this surjection : s\colon H^*(F) \longrightarrow H^*(E), by definition, this map satisfies :\iota^* \circ s = \mathrm . The Leray–Hirsch isomorphism The Leray–Hirsc ...
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Free University Of Brussels (1834–1969) Alumni
University of Brussels may refer to several institutions in Brussels, Belgium: Current institutions * Université libre de Bruxelles (ULB), a French-speaking university established as a separate entity in 1970 *Vrije Universiteit Brussel (VUB), a Dutch-speaking university established as a separate entity in 1970 *Saint-Louis University, Brussels (UCLouvain), a public university founded in 1858 Former institutions *Free University of Brussels (1834–1969), a defunct university which split along linguistic lines in 1970 *Catholic University of Brussels The ''Katholieke Universiteit Brussel'' (English: Catholic University of Brussels) was a Flemish university located in Brussels Brussels (french: Bruxelles or ; nl, Brussel ), officially the Brussels-Capital Region (All text and all but one ..., a Dutch-medium university founded in 1969 * New University of Brussels, a university in operation from 1894 to 1919 {{School disambiguation ...
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Belgian Mathematicians
Belgian may refer to: * Something of, or related to, Belgium * Belgians, people from Belgium or of Belgian descent * Languages of Belgium, languages spoken in Belgium, such as Dutch, French, and German * Ancient Belgian language, an extinct language formerly spoken in Gallia Belgica * Belgian Dutch or Flemish, a variant of Dutch *Belgian French, a variant of French * Belgian horse (other), various breeds of horse * Belgian waffle, in culinary contexts * SS ''Belgian'', a cargo ship in service with F Leyland & Co Ltd from 1919 to 1934 *''The Belgian ''The Belgian'' is a 1917 American silent film directed by Sidney Olcott and produced by Sidney Olcott Players with Valentine Grant and Walker Whiteside in the leading roles. It is not known whether the film currently survives. Plot As descr ...'', a 1917 American silent film See also * * Belgica (other) * Belgic (other) {{Disambiguation ...
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1993 Deaths
File:1993 Events Collage.png, From left, clockwise: The Oslo I Accord is signed in an attempt to resolve the Israeli–Palestinian conflict; The Russian White House is shelled during the 1993 Russian constitutional crisis; Czechoslovakia is peacefully dissolved into the Czech Republic and Slovakia; In the United States, the ATF besieges a compound belonging to David Koresh and the Branch Davidians in a search for illegal weapons, which ends in the building being set alight and killing most inside; Eritrea gains independence; A major snow storm passes over the United States and Canada, leading to over 300 fatalities; Drug lord and narcoterrorist Pablo Escobar is killed by Colombian special forces; Ramzi Yousef and other Islamic terrorists detonate a truck bomb in the subterranean garage of the North Tower of the World Trade Center in the United States., 300x300px, thumb rect 0 0 200 200 Oslo I Accord rect 200 0 400 200 1993 Russian constitutional crisis rect 400 0 600 200 ...
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Mathematicians From London
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypa ...
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1915 Births
Events Below, the events of World War I have the "WWI" prefix. January * January – British physicist Sir Joseph Larmor publishes his observations on "The Influence of Local Atmospheric Cooling on Astronomical Refraction". *January 1 ** WWI: British Royal Navy battleship HMS ''Formidable'' is sunk off Lyme Regis, Dorset, England, by an Imperial German Navy U-boat, with the loss of 547 crew. ** Battle of Broken Hill: A train ambush near Broken Hill, New South Wales, Australia, is carried out by two men (claiming to be in support of the Ottoman Empire) who are killed, together with 4 civilians. * January 5 – Joseph E. Carberry sets an altitude record of , carrying Capt. Benjamin Delahauf Foulois as a passenger, in a fixed-wing aircraft. * January 12 ** The United States House of Representatives rejects a proposal to give women the right to vote. ** '' A Fool There Was'' premières in the United States, starring Theda Bara as a '' femme fatale''; she quickly become ...
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Jean Leray
Jean Leray (; 7 November 1906 – 10 November 1998) was a French mathematician, who worked on both partial differential equations and algebraic topology. Life and career He was born in Chantenay-sur-Loire (today part of Nantes). He studied at École Normale Supérieure from 1926 to 1929. He received his Ph.D. in 1933. In 1934 Leray published an important paper that founded the study of weak solutions of the Navier–Stokes equations. In the same year, he and Juliusz Schauder discovered a topological invariant, now called the Leray–Schauder degree, which they applied to prove the existence of solutions for partial differential equations lacking uniqueness. From 1938 to 1939 he was professor at the University of Nancy. He did not join the Bourbaki group, although he was close with its founders. His main work in topology was carried out while he was in a prisoner of war camp in Edelbach, Austria from 1940 to 1945. He concealed his expertise on differential equations, fearing th ...
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Fiber Bundle
In mathematics, and particularly topology, a fiber bundle (or, in Commonwealth English: fibre bundle) is a space that is a product space, but may have a different topological structure. Specifically, the similarity between a space E and a product space B \times F is defined using a continuous surjective map, \pi : E \to B, that in small regions of E behaves just like a projection from corresponding regions of B \times F to B. The map \pi, called the projection or submersion of the bundle, is regarded as part of the structure of the bundle. The space E is known as the total space of the fiber bundle, B as the base space, and F the fiber. In the ''trivial'' case, E is just B \times F, and the map \pi is just the projection from the product space to the first factor. This is called a trivial bundle. Examples of non-trivial fiber bundles include the Möbius strip and Klein bottle, as well as nontrivial covering spaces. Fiber bundles, such as the tangent bundle of a mani ...
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Royal Flemish Academy Of Belgium For Science And The Arts
The Royal Flemish Academy of Belgium for Science and the Arts ( nl, Koninklijke Vlaamse Academie van België voor Wetenschappen en Kunsten, or KVAB) is one of an independent learned society of science and arts of the Flemish Community in Belgium. It is one of Belgium's numerous academies and traces its origin to 1772 when the Imperial and Royal Academy of Brussels was founded by empress Maria Theresia. The Academy is headquartered in the Academy Palace (''Paleis der Academiën''), Hertogsstraat 1, 1000 Brussels. Mission and goals The mission and goals of the society is the practice and promotion of science and arts in Flanders. To achieve that goal a number of scientific and cultural activities is organized. Also the academy enhances and encourages the collaboration between the Flemish universities, it attracts and encourages foreign scholars to develop research activities and delegates representatives to international organisations and meetings. In addition, it advises on matte ...
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Brussels
Brussels (french: Bruxelles or ; nl, Brussel ), officially the Brussels-Capital Region (All text and all but one graphic show the English name as Brussels-Capital Region.) (french: link=no, Région de Bruxelles-Capitale; nl, link=no, Brussels Hoofdstedelijk Gewest), is a region of Belgium comprising 19 municipalities, including the City of Brussels, which is the capital of Belgium. The Brussels-Capital Region is located in the central portion of the country and is a part of both the French Community of Belgium and the Flemish Community, but is separate from the Flemish Region (within which it forms an enclave) and the Walloon Region. Brussels is the most densely populated region in Belgium, and although it has the highest GDP per capita, it has the lowest available income per household. The Brussels Region covers , a relatively small area compared to the two other regions, and has a population of over 1.2 million. The five times larger metropolitan area of Brusse ...
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