Mathematician:Samuel Eilenberg
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Mathematician
Polish-born American mathematician whose main field of activity were homology theory and category theory.
Wolf Prize
Samuel Eilenberg was awarded a Wolf Prize for Mathematics in $\text {1986}$:
- For his fundamental work in algebraic topology and homological algebra.
Nationality
Polish
History
- Born: 30 September 1913 in Warsaw, Russian Empire (now Poland)
- Died: 30 January 1998 in New York, USA
Theorems and Inventions
- Eilenberg-Steenrod Axioms (with Norman Earl Steenrod)
- Eilenberg-MacLane Space (with Saunders Mac Lane)
- Category Theory (with Saunders Mac Lane)
- Eilenberg-Ganea Theorem (with Tudor Ganea)
- Eilenberg-Ganea Conjecture (with Tudor Ganea)
- Eilenberg-Mazur Swindle (with Barry Charles Mazur)
Publications
- 1944: The "fundamental theorem of algebra" for quaternions (Bull. Amer. Math. Soc. Vol. 50, no. 4: pp. 246 – 248) (with Ivan Niven)
- 1945: Relations between homology and homotopy groups of spaces (Annals of Mathematics Vol. 46: pp. 480 – 509) (with Saunders Mac Lane)
- 1945: Axiomatic approach to homology theory (Proc. Natl. Acad. Sci. U S A Vol. 31, no. 4: pp. 117 – 120) (with Norman E. Steenrod)
- 1950: Relations between homology and homotopy groups of spaces. II (Annals of Mathematics Vol. 51: pp. 514 – 533) (with Saunders Mac Lane)
- 1952: Foundations of algebraic topology (with Norman Earl Steenrod)
- 1957: On the Lusternik-Schnirelmann category of abstract groups (Annals of Mathematics Ser. 2nd Vol. 65, no. 3: pp. 517 – 518) (with Tudor Ganea)