• Thumbnail for Henri Cartan
    Henri Paul Cartan (French: [kaʁtɑ̃]; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology...
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  • the twentieth century. His son Henri Cartan was an influential mathematician working in algebraic topology. Élie Cartan was born 9 April 1869 in the village...
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  • proved it. Cartan (crater) Élie Cartan Prize Note some are after Henri Cartan, a son of É. Cartan; e.g., Cartan's lemma (potential theory) Cartan seminar...
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  • Cartan may refer to: Élie Cartan (1869–1951), French mathematician who worked with Lie groups Henri Cartan (1904–2008), French mathematician who worked...
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  • Thumbnail for Nicolas Bourbaki
    to use dated texts. While teaching at the University of Strasbourg, Henri Cartan complained to his colleague André Weil of the inadequacy of available...
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  • original on 16 Jun 2013. Cartan, Henri (1954–1955). "DGA-algèbres et DGA-modules". Séminaire Henri Cartan. 7 (1): 1–9. Cartan, Henri (1954–1955). "DGA-modules...
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  • (P^{j}y)\end{aligned}}} . See Steenrod algebra for the detail. The name derives from Henri Cartan, son of Élie. More precisely, these five axioms define 'cohomology operations'...
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  • In mathematics, Cartan's theorems A and B are two results proved by Henri Cartan around 1951, concerning a coherent sheaf F on a Stein manifold X. They...
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  • simply-connected Lie groups Cartan's theorems A and B, c.1931 results by Henri Cartan concerning a coherent sheaf on a Stein manifold Cartan's lemma, several results...
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  • (1945–2000), Dutch still life painter Henri Cappetta, French ichthyologist Henri Cartan (1904–2008), French mathematician Henri Cartier-Bresson (1908–2004), French...
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  • be used to construct hyper-derived functors. It is named in honor of Henri Cartan and Samuel Eilenberg. Let A {\displaystyle {\mathcal {A}}} be an Abelian...
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  • Thumbnail for Roger Godement
    at the École normale supérieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian...
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  • coefficient theorem in topology. For modules over any ring, Tor was defined by Henri Cartan and Eilenberg in their 1956 book Homological Algebra. Let R be a ring...
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  • theorem for cohomology). For modules over any ring, Ext was defined by Henri Cartan and Eilenberg in their 1956 book Homological Algebra. Let R be a ring...
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  • Thumbnail for Jean-Pierre Serre
    From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variables and then commutative...
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  • complex analysis. Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students. Montel's...
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  • Thumbnail for Filter (mathematics)
    techniques in mathematical logic. Filters on sets were introduced by Henri Cartan in 1937. Nicolas Bourbaki, in their book Topologie Générale, popularized...
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  • Thumbnail for Samuel Eilenberg
    created category theory. Eilenberg was a member of Bourbaki and, with Henri Cartan, wrote the 1956 book Homological Algebra. Later in life he worked mainly...
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  • different character. After 1945 important work in France, in the seminar of Henri Cartan, and Germany with Hans Grauert and Reinhold Remmert, quickly changed...
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  • first introduced in 1956 in the influential book Homological Algebra by Henri Cartan and Samuel Eilenberg. The usual category theoretical definition is in...
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  • Thumbnail for Pierre Cartier (mathematician)
    category theory. He studied at the École Normale Supérieure in Paris under Henri Cartan and André Weil. Since his 1958 thesis on algebraic geometry he has worked...
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  • Thumbnail for Jean-Louis Koszul
    cohomologie des algèbres de Lie, was written in 1950 under the direction of Henri Cartan. He lectured at many universities and was appointed in 1963 professor...
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  • mathematics, the term Cartan matrix has three meanings. All of these are named after the French mathematician Élie Cartan. Amusingly, the Cartan matrices in the...
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  • There is another formula called "Cartan formula". See Steenrod algebra. Is "Cartan's magic formula" due to Élie or Henri?, MathOverflow, 2010-09-21, retrieved...
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  • Thumbnail for René Thom
    (Sphere bundles and Steenrod squares), was written under the direction of Henri Cartan. After a fellowship at Princeton University Graduate College (1951–1952)...
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  • Thumbnail for Anna Cartan
    brother Élie Cartan (1869–1951) who became an acclaimed mathematician and sire of a family of mathematicians, notably his first son, Henri Cartan, who later...
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  • Thumbnail for Alain Chenciner
    différentiables réelles sur une variété (Chenciner's thesis defense involved Henri Cartan, Laurent Schwartz and René Thom). Chenciner became a maître de conférences...
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  • In algebraic topology, a Steenrod algebra was defined by Henri Cartan (1955) to be the algebra of stable cohomology operations for mod p {\displaystyle...
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  • 2008 Retrieved 27 January 2012 ISBN 3-540-88635-4 Nicolas Bourbaki (Henri Cartan, Claude Chevalley, Jean Dieudonné, André Weil et al) – Functions of a...
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  • space X , {\displaystyle X,} suitable for sheaf theory, was defined by Henri Cartan. In extending Poincaré duality to manifolds that are not compact, the...
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