Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and...

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...

Eilenberg is a surname. Notable people with the surname include: Samuel Eilenberg (1913–1998), Polish mathematician Richard Eilenberg (1848–1927), German...

In mathematics, the Eilenberg–Mazur swindle, named after Samuel Eilenberg and Barry Mazur, is a method of proof that involves paradoxical properties of...

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...

developed by Samuel Eilenberg and Norman Steenrod. One can define a homology theory as a sequence of functors satisfying the Eilenberg–Steenrod axioms...

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...

groups, Ext was introduced by Reinhold Baer (1934). It was named by Samuel Eilenberg and Saunders MacLane (1942), and applied to topology (the universal...

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...

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...

textbook treatment of homological algebra, "Cartan–Eilenberg" after the authors Henri Cartan and Samuel Eilenberg, appeared in 1956. Grothendieck's work was largely...

was an American mathematician who co-founded category theory with Samuel Eilenberg. Mac Lane was born in Norwich, Connecticut, near where his family lived...

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...

fundamental group is G. The theorem is named after Polish mathematician Samuel Eilenberg and Romanian mathematician Tudor Ganea. The theorem was first published...

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

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...

derived through de Rham cohomology. This was extended in the 1950s, when Samuel Eilenberg and Norman Steenrod generalized this approach. They defined homology...

Noll. Truesdell supported Lawvere's application to study further with Samuel Eilenberg, a founder of category theory, at Columbia University in 1960. Before...

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...

calculation from knowledge of the homology of the remaining spaces. Samuel Eilenberg and John C. Moore's original paper addresses this for singular homology...

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...

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...

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...

Cambridge University Press. ISBN 978-0-521-19022-0. Zbl 1250.68007. Eilenberg, Samuel (1974). Automata, Languages, and Machines. Volume A. Pure and Applied...

developed the method of "killing homotopy groups". His 1956 book with Samuel Eilenberg on homological algebra was an important text, treating the subject...

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...

received his Ph.D. at Hebrew University in 1955, under the direction of Samuel Eilenberg. His students include Aldridge K. Bousfield, William Dwyer, Stewart...

with Samuel Eilenberg, he was a founder of the axiomatic approach to homology theory. See Eilenberg–Steenrod axioms. Abstract nonsense Eilenberg–Steenrod...

1944, Samuel Eilenberg overcame the technical limitations, and gave the modern definition of singular homology and cohomology. In 1945, Eilenberg and Steenrod...

1945 – Saunders Mac Lane and Samuel Eilenberg start category theory. 1945 – Norman Steenrod and Samuel Eilenberg give the Eilenberg–Steenrod axioms for (co-)homology...