Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and...
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name is derived from Samuel Eilenberg and Saunders Mac Lane, who introduced such spaces in the late 1940s. As such, an Eilenberg–MacLane space is a special...
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Eilenberg is a surname. Notable people with the surname include: Samuel Eilenberg (1913–1998), Polish mathematician Richard Eilenberg (1848–1927), German...
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In mathematics, the Eilenberg–Mazur swindle, named after Samuel Eilenberg and Barry Mazur, is a method of proof that involves paradoxical properties of...
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Lie algebra cohomology (redirect from Chevalley–Eilenberg complex)
of the Lie algebra. It was later extended by Claude Chevalley and Samuel Eilenberg (1948) to coefficients in an arbitrary Lie module. If G {\displaystyle...
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developed by Samuel Eilenberg and Norman Steenrod. One can define a homology theory as a sequence of functors satisfying the Eilenberg–Steenrod axioms...
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construct hyper-derived functors. It is named in honor of Henri Cartan and Samuel Eilenberg. Let A {\displaystyle {\mathcal {A}}} be an Abelian category with enough...
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groups, Ext was introduced by Reinhold Baer (1934). It was named by Samuel Eilenberg and Saunders MacLane (1942), and applied to topology (the universal...
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mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational...
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The Eilenberg–Ganea conjecture is a claim in algebraic topology. It was formulated by Samuel Eilenberg and Tudor Ganea in 1957, in a short, but influential...
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textbook treatment of homological algebra, "Cartan–Eilenberg" after the authors Henri Cartan and Samuel Eilenberg, appeared in 1956. Grothendieck's work was largely...
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was an American mathematician who co-founded category theory with Samuel Eilenberg. Mac Lane was born in Norwich, Connecticut, near where his family lived...
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algebras over a commutative ring by Samuel Eilenberg and Saunders Mac Lane (1953) and Henri Cartan and Eilenberg (1956, IX.6) and has since been generalized...
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fundamental group is G. The theorem is named after Polish mathematician Samuel Eilenberg and Romanian mathematician Tudor Ganea. The theorem was first published...
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1956 in the influential book Homological Algebra by Henri Cartan and Samuel Eilenberg. The usual category theoretical definition is in terms of the property...
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abelian groups, Tor was introduced by Eduard Čech (1935) and named by Samuel Eilenberg around 1950. It was first applied to the Künneth theorem and universal...
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derived through de Rham cohomology. This was extended in the 1950s, when Samuel Eilenberg and Norman Steenrod generalized this approach. They defined homology...
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Noll. Truesdell supported Lawvere's application to study further with Samuel Eilenberg, a founder of category theory, at Columbia University in 1960. Before...
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appeared in a 1953 paper in the American Journal of Mathematics by Samuel Eilenberg and Joseph A. Zilber. One possible route to a proof is the acyclic...
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calculation from knowledge of the homology of the remaining spaces. Samuel Eilenberg and John C. Moore's original paper addresses this for singular homology...
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to the category of sets. Simplicial sets were introduced in 1950 by Samuel Eilenberg and Joseph A. Zilber. Every simplicial set gives rise to a "nice" topological...
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and extended to algebras over more general rings by Henri Cartan and Samuel Eilenberg (1956). Let k be a field, A an associative k-algebra, and M an A-bimodule...
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polynomials with quaternion coefficients and variables. It is due to Samuel Eilenberg and Ivan M. Niven. Let P ( x ) = a 0 x a 1 x ⋯ x a n + φ ( x ) {\displaystyle...
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Cambridge University Press. ISBN 978-0-521-19022-0. Zbl 1250.68007. Eilenberg, Samuel (1974). Automata, Languages, and Machines. Volume A. Pure and Applied...
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developed the method of "killing homotopy groups". His 1956 book with Samuel Eilenberg on homological algebra was an important text, treating the subject...
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Čech and Hassler Whitney from 1935–1938, and, in full generality, by Samuel Eilenberg in 1944. In singular cohomology, the cup product is a construction...
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received his Ph.D. at Hebrew University in 1955, under the direction of Samuel Eilenberg. His students include Aldridge K. Bousfield, William Dwyer, Stewart...
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with Samuel Eilenberg, he was a founder of the axiomatic approach to homology theory. See Eilenberg–Steenrod axioms. Abstract nonsense Eilenberg–Steenrod...
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Cohomology (section Eilenberg–MacLane spaces)
1944, Samuel Eilenberg overcame the technical limitations, and gave the modern definition of singular homology and cohomology. In 1945, Eilenberg and Steenrod...
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1945 – Saunders Mac Lane and Samuel Eilenberg start category theory. 1945 – Norman Steenrod and Samuel Eilenberg give the Eilenberg–Steenrod axioms for (co-)homology...
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