# 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)