What is he best known for?
The fields of study he is best known for:
- Topology
- Pure mathematics
- Algebra
The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Algebra, Homological algebra and Derived functor.
Samuel Eilenberg undertakes multidisciplinary studies into Pure mathematics and Commutative ring in his work.
His Coincidence point, Fixed-point theorem and Fixed-point property study, which is part of a larger body of work in Discrete mathematics, is frequently linked to Computation and Polynomial function theorems for zeros, bridging the gap between disciplines.
Equivariant cohomology, Factor system, Group cohomology, Cohomology and Galois cohomology are subfields of Algebra in which his conducts study.
The various areas that he examines in his Homological algebra study include Topology, Quasi-isomorphism, Homology and Filtered algebra.
His research integrates issues of Functor category, Limit, Adjoint functors and Distributive law between monads in his study of Derived functor.
His most cited work include:
- Automata, Languages, and Machines (1406 citations)
- Foundations of Algebraic Topology (1157 citations)
- Cohomology Theory of Lie Groups and Lie Algebras (752 citations)
What are the main themes of his work throughout his whole career to date?
Samuel Eilenberg focuses on Pure mathematics, Humanities, Algebra, Discrete mathematics and Homology.
His Relative homology, Cellular homology, Functor, Homotopy group and Derived functor study are his primary interests in Pure mathematics.
His study looks at the relationship between Functor and topics such as Eilenberg–Moore spectral sequence, which overlap with Homological algebra.
His is involved in several facets of Algebra study, as is seen by his studies on Group cohomology, Equivariant cohomology, Cohomology and Dimension.
He has included themes like Geometry and topology, Persistent homology and Axiomatic system in his Homology study.
His Geometry and topology study combines topics in areas such as Topological combinatorics and Combinatorics.
He most often published in these fields:
- Pure mathematics (36.46%)
- Humanities (16.67%)
- Algebra (15.62%)
What were the highlights of his more recent work (between 1955-1988)?
- Pure mathematics (36.46%)
- Spectral sequence (5.21%)
- Discrete mathematics (17.71%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Pure mathematics, Spectral sequence, Discrete mathematics, Homology and Homological algebra.
All of his Pure mathematics and Derived functor and Global dimension investigations are sub-components of the entire Pure mathematics study.
His Eilenberg–Moore spectral sequence study in the realm of Spectral sequence interacts with subjects such as Commutative ring.
His work on Adjunction expands to the thematically related Discrete mathematics.
Samuel Eilenberg combines subjects such as Geometry and topology, Axiomatic system and Topological combinatorics with his study of Homology.
His Homological algebra study is concerned with the larger field of Algebra.
Between 1955 and 1988, his most popular works were:
- Automata, Languages, and Machines (1406 citations)
- Adjoint functors and triples (300 citations)
- Foundations of relative homological algebra (199 citations)
In his most recent research, the most cited papers focused on:
- Topology
- Algebra
- Pure mathematics
Samuel Eilenberg mostly deals with Homological algebra, Pure mathematics, Derived functor, Topology and Quasi-isomorphism.
His Homological algebra research is multidisciplinary, relying on both Spectral sequence and Fibration.
Samuel Eilenberg connects Pure mathematics with Calculus of functors in his study.
His Derived functor research incorporates themes from Eilenberg–Moore spectral sequence and Homology.
Samuel Eilenberg has researched Topology in several fields, including Algebra and Filtered algebra.
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