Samuel Eilenberg | Academic Influence

Samuel Eilenberg's AcademicInfluence.com Rankings

Samuel Eilenberg

Mathematics

#19

World Rank

#71

Historical Rank

Algebra

#2

World Rank

#7

Historical Rank

Measure Theory

#108

World Rank

#173

Historical Rank

mathematics Degrees

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Mathematics

Samuel Eilenberg's Degrees

PhD Mathematics University of Warsaw

Why Is Samuel Eilenberg Influential?

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According to Wikipedia, Samuel Eilenberg was a Polish-American mathematician who co-founded category theory and homological algebra. Early life and education He was born in Warsaw, Kingdom of Poland to a Jewish family. He spent much of his career as a professor at Columbia University.

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Samuel Eilenberg's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Automata, languages, and machines. A (1974) (2098)
Foundations of Algebraic Topology (1952) (1192)
Cohomology Theory of Lie Groups and Lie Algebras (1948) (813)
General theory of natural equivalences (1945) (663)
On the Groups H(Π, n), I (1953) (396)
Homological Algebra (PMS-19) (1956) (383)
Adjoint functors and triples (1965) (347)
On the Groups H(Π, n), II: Methods of Computation (1954) (326)
Cohomology Theory in Abstract Groups. III (1947) (298)
Fixed Point Theorems for Multi-Valued Transformations (1946) (279)
Foundations of relative homological algebra (1965) (269)
Homology and fibrations I Coalgebras, cotensor product and its derived functors (1965) (224)
Rational sets in commutative monoids (1969) (221)
Ordered Topological Spaces (1941) (203)
Cohomology Theory in Abstract Groups. II: Group Extensions with a non-Abelian Kernel (1947) (191)
Relations Between Homology and Homotopy Groups of Spaces. II (1945) (173)
On the Dimension of Modules and Algebras, II: (Frobenius Algebras and Quasi-Frobenius Rings) (1955) (169)
On the Lusternik-Schnirelmann Category of Abstract Groups (1957) (169)
SEMI-SIMPLICIAL COMPLEXES AND SINGULAR HOMOLOGY (1950) (162)
Automata, Languages and Machines, Vol. B (1976) (143)
Automata in General Algebras (1967) (143)
The “fundamental theorem of algebra” for quaternions (1944) (142)
On the Dimension of Modules and Algebras, I (1955) (125)
On Products of Complexes (1953) (124)
Un théorème de dualité (1936) (121)
Group Extensions and Homology (1942) (120)
Homological Dimension and Syzygies (1956) (110)
A generalization of the functorial calculus (1966) (105)
Axiomatic Approach to Homology Theory. (1945) (100)
Sur les transformations périodiques de la surface de sphère (1934) (95)
Review of "Algebraic and automata-theoretic properties of formal languages" by Seymour Ginsburg. North Holland, 1975. (1976) (87)
Algebra, topology, and category theory : a collection of papers in honor of Samuel Eilenberg (1976) (84)
Homology of spaces with operators. II (1947) (84)
Limits and spectral sequences (1962) (80)
On the Groups H(Π, n), III: Operations and Obstructions (1954) (79)
Extensions of general algebras (1948) (78)
Cohomology and Continuous Mappings (1940) (75)
On the Dimension of Modules and Algebras, VIII. Dimension of Tensor Products (1957) (72)
On the Problems of Topology (1949) (70)
Natural Isomorphisms in Group Theory. (1942) (62)
Cohomology theory of abelian groups and homotopy theory I. (1950) (61)
Singular Homology Theory (1944) (60)
Relations between Homology and Homotopy Groups. (1943) (60)
Abstract Description of some Basic Functors (1960) (59)
Proceedings of the Conference on Categorical Algebra (1966) (58)
Uniform Local Connectedness and Contractibility (1942) (53)
Algebras of cohomologically finite dimension (1954) (52)
Sets recognized by n-tape automata (1969) (51)
Transformations continues en circonférence et la topologie du plan (1936) (50)
Cohomology and Galois theory. I. Normality of algebras and Teichmüller’s cocycle (1948) (48)
Topological methods in abstract algebra. cohomology theory of groups (1949) (45)
Proceedings of the Conference on Categorical Algebra, La Jolla, 1965 (1966) (42)
On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings (1956) (41)
On the relation between the fundamental group on a space and the higher homotopy groups (1939) (37)
HOMOLOGY THEORIES FOR MULTIPLICATIVE SYSTEMS (1951) (36)
Determination of the Second Homology and Cohomology Groups of a Space by Means of Homotopy Invariants. (1946) (36)
Continua of Finite Linear Measure, II (1943) (33)
Sur les transformations continues d'espaces métriques compacts (1934) (31)
AN ADJUNCTION THEOREM FOR LOCALLY EQUICONNECTED SPACES (1972) (28)
Pure and Applied Mathematics A Series of Monographs and Textbooks (1980) (28)
Algebraic cohomology groups and loops (1947) (27)
Banach Space Methods in Topology (1942) (25)
Quelques propriétés caractéristiques de la dimension (1938) (23)
Singular Homology in Differentiable Manifolds (1947) (21)
On Homotopy Groups. (1940) (21)
Iteration and recursion. (1968) (20)
Cohomology Theory of Abelian Groups and Homotopy Theory II. (1950) (19)
Sur les transformations d'espaces métriques en circonférence (1935) (17)
Sur les transformations à petites tranches (1938) (16)
Cohomology Theory of Abelian Groups and Homotopy Theory III. (1951) (16)
On a theorem of P. A. Smith concerning fixed points for periodic transformations (1940) (16)
Sur les espaces multicohérents I (1936) (15)
Sur quelques propriétés des transformations localement homéomorphes (1935) (14)
On The Homology Theory Of Abelian Groups (1955) (13)
On the Dimension of Modules and Algebras, V. Dimension of Residue Rings (1957) (13)
Sur les groupes compacts d'homéomorphies (1937) (11)
Automata, languages, and machines., B (1976) (11)
Sur quelques propriétés topologiques de la surface de sphère (1935) (10)
On Continuous Mappings of Manifolds into Spheres (1940) (8)
Globalizing fibrations by schedules (1988) (7)
Continuous Mappings of Infinite Polyhedra (1941) (6)
Sur les courbes sans noeuds (1937) (6)
Infinite Cycles and Homologies. (1941) (6)
Eilenberg-Mac Lane: Collected Works (1986) (6)
A remark on duality (1962) (6)
La suite spectrale. I : construction générale (1951) (4)
Karol Borsuk - personal reminiscences (1993) (4)
Sur le prolongement des transformations en surfaces sphériques (1938) (3)
Zero-dimensional families of sets (1941) (3)
Cohomology Groups of Abelian Groups and Homotopy Theory IV. (1952) (3)
An invariance theorem for subsets of $S^n$ (1941) (3)
Remarque sur un théorème de M. Hurewicz (1935) (2)
On spherical cycles (1941) (2)
Über stetige Abbildungen der Teilmengen euklidischer Räume auf die Kreislinie (1936) (2)
Classes of semigroups and classes of sets (1973) (2)
Sur le théorème de décomposition de la théorie de la dimension (1936) (2)
On a linkage theorem by L. Cesari (1947) (2)
Homologie des groupes. I : axiomes et unicité (1951) (1)
Über ein Problem von H. Hopf (1937) (1)
Some Remarks on the Interface of Algebra and Geometry (1979) (1)
Homologie des groupes. II : existence (1951) (1)
Review: R. L. Wilder, Topology of manifolds (1950) (1)
Exposition des théories de Morse et Lusternik-Schnirelmann (1951) (1)
Sur la dérivation des fonctions dans des ensembles dénombrables (1935) (1)
Algebraic topology : lectures of Samuel Eilenberg, 1964-5 (1965) (1)
Relations between cohomology groups in a complex (1948) (1)
VII. The singular homology theory (1952) (0)
Anniversary Meeting (1977) (0)
THE MEETING IN NEW YORK (2007) (0)
MATHEMATICS : CHOW AND KODAIRA ON ANALYTIC SURFACES WITH TWO INDEPENDENT MEROMORPHIC FUNCTIONS (2005) (0)
Chapter XVII. Hyperhomology (1956) (0)
The October Meeting in New York (2007) (0)
VI. Formal homology theory of simplicial complexes (1952) (0)
Leotures on Topology (1948) (0)
XI. Applications to Euclidean Spaces (1952) (0)
I. Axioms and general theorems (1952) (0)
Chapter V. Derived Functors (1956) (0)
Chapter XI. Products (1956) (0)
Chapter VII. Integral Domains (1956) (0)
Chapter XV. Spectral Sequences (1956) (0)
THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)
Chapter IX. Associative Algebras (1956) (0)
Chapter XIV. Extensions (1956) (0)
Chapter X. Supplemented Algebras (1956) (0)
III. Homology theory of simplicial complexes (1952) (0)
Chapter IV. Homology (1956) (0)
Algebraic Topology – A Student's Guide: An axiomatic approach to homology theory (1972) (0)
Chapter XII. Finite Groups (1956) (0)
Foundations of Algebraic Topology (1952) (0)
Limit properties of stochastic matrices (1977) (0)
Chapter VIII. Augmented Rings (1956) (0)
X. Special features of the Čech theory (1952) (0)
Chapter VI. Derived Functors of ⊗ and Hom (1956) (0)
VIII. Systems of groups and their limits (1952) (0)
Chapter XVI. Applications of Spectral Sequences (1956) (0)
Foundations of fiber bundles : lectures (1957) (0)
Mathematics: The Mathematical Works of L. H. C. Whitehead : vol. 4, Algebraic and Classical Topology. Edited by I. M. James. Pergamon, London; Macmillan, New York, 1963. 361 pp. $12.50. (1964) (0)
Chapter III. Satellites (1956) (0)
VOL. 29, 1943 MATHEMA TICS: EILENBERG AND MacLANE RELATIONS BETWEEN HOMOLOGY AND HOMOTOPY GROUPS By SAMUEL EILENBERG AND SAUNDERS MACLANE (2005) (0)
IX. The Čech homology theory (1952) (0)
List o f Symbols (1956) (0)
II. Simplicial complexes (1952) (0)
THE OCTOBER MEETING IN NEW YORK The four hundred fiftieth meeting of the American Mathematical (2007) (0)
THE APRIL MEETING IN NEW YORK The four hundred seventy-ninth meeting of the American Mathe (2007) (0)
Chapter XIII. Lie Algebras (1956) (0)
Annals of Mathematics Group Extensions and Homology* (0)
What is Mathematics and How do we Teach it (1970) (0)
Index o f Terminology (1956) (0)
Chapter II. Additive Functors (1956) (0)
THE SUMMER MEETING IN UNIVERSITY PARK The sixty-second Summer Meeting of the American Mathematical (2007) (0)
Bronzes from India (1957) (0)
V. Chain complexes (1952) (0)
IV. Categories and functors (1952) (0)
Chapter I. Rings and Modules (1956) (0)
MA THEMATICS : EILENBERG AND MACLANE PROC (0)
Sur les ensembles plans localement connexes (1937) (0)
ON GENERALIZATIONS OF HOPFS CLASSIFICATION THEOREMS (2006) (0)
Séminaire de topologie algebrique, 1950-51 (1951) (0)
Théorèmes d'addition concernant le groupe des transformations en circonférence (1939) (0)
Sur les décompositions des continus en ensembles connexes (1934) (0)
Foncteurs de modules et leurs satellites (1951) (0)
Sur le plongement des espaces dans les continus acycliques (1935) (0)
Deux théorèmes sur l'homologie dans les espaces compacts (1935) (0)
La suite spectrale. II : espaces fibrés (1951) (0)
Bemerkungen zur Pontrjaginschen Verallgemeinerung des Alexanderschen Dualitätssatzes (1936) (0)

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