# Mathematician:Heinz Hopf

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## Mathematician

German mathematician who worked on the fields of topology and geometry.

## Nationality

German

## History

- Born: 19 November 1894 in Gräbschen (near Breslau), Germany (now Wrocław, Poland)
- Died: 3 June 1971 in Zollikon, Switzerland

## Theorems and Definitions

- Poincaré-Hopf Theorem (with Jules Henri Poincaré)
- Hopf Algebra
- Hopf Fibration
- Hopf Invariant
- H-Space
- Hopf Soliton
- Hopf Map
- Hopf-Rinow Theorem (with Willi Ludwig August Rinow)
- Hopf Manifold
- Hopf Surface
- Hopf Link
- Hopf Theorem
- Hopf Conjecture
- Killing-Hopf Theorem (with Wilhelm Karl Joseph Killing)

Results named for **Heinz Hopf** can be found here.

Definitions of concepts named for **Heinz Hopf** can be found here.

## Publications

- 1926:
*Zum Clifford-Kleinschen Raumproblem*(*Math. Ann.***Vol. 95**,*no. 1*: pp. 313 – 339)