Henri Paul Cartan (French: [kaʁtɑ̃]; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology...

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...

Cartan may refer to: Élie Cartan (1869–1951), French mathematician who worked with Lie groups Henri Cartan (1904–2008), French mathematician who worked...

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...

to use dated texts. While teaching at the University of Strasbourg, Henri Cartan complained to his colleague André Weil of the inadequacy of available...

(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'...

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...

(1945–2000), Dutch still life painter Henri Cappetta, French ichthyologist Henri Cartan (1904–2008), French mathematician Henri Cartier-Bresson (1908–2004), French...

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...

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...

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...

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...

techniques in mathematical logic. Filters on sets were introduced by Henri Cartan in 1937. Nicolas Bourbaki, in their book Topologie Générale, popularized...

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...

(died 1976) 2 July - René Lacoste, tennis player (died 1996) 8 July - Henri Cartan, mathematician. (died 2008) 24 July - Leo Arnaud, composer of film scores...

first introduced in 1956 in the influential book Homological Algebra by Henri Cartan and Samuel Eilenberg. The usual category theoretical definition is in...

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...

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...

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...

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...

the son of Daniel Douady and Guilhen Douady. Douady was a student of Henri Cartan at the École normale supérieure, and initially worked in homological...

different character. After 1945 important work in France, in the seminar of Henri Cartan, and Germany with Hans Grauert and Reinhold Remmert, quickly changed...

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...

In algebraic topology, a Steenrod algebra was defined by Henri Cartan (1955) to be the algebra of stable cohomology operations for mod p {\displaystyle...

(Sphere bundles and Steenrod squares), was written under the direction of Henri Cartan. After a fellowship at Princeton University Graduate College (1951–1952)...

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...

theory hardly appears in his published papers, but correspondence with Henri Cartan in the late 1940s, and reprinted in his collected papers, proved most...

mouth". Historically speaking, the Séminaire Cartan of the late 1940s and early 1950s, around Henri Cartan, was one of the most influential. Publication...

(2000). Real analysis. Cambridge University Press. ISBN 0-521-49756-6. Henri Cartan (1971). Differential Calculus. Kershaw Publishing Company LTD. ISBN 0-395-12033-0...

space X , {\displaystyle X,} suitable for sheaf theory, was defined by Henri Cartan. In extending Poincaré duality to manifolds that are not compact, the...