Back هاينز هوف Arabic هاينز هوف ARZ Heinz Hopf AST هاینتس هوپف AZB Хайнц Хопф Byelorussian Гайнц Гопф BE-X-OLD Heinz Hopf Catalan Heinz Hopf German Χάιντς Χοπφ Greek Heinz Hopf Spanish
Heinz Hopf | |
|---|---|
-Portr_07480.jpg) Hopf in 1954 | |
| Born | 19 November 1894 |
| Died | 3 June 1971 (aged 76) |
| Alma mater | University of Berlin |
| Known for | Almost complex manifold H-space Hopf algebra Hopf conjecture Hopf fibration Hopf invariant Hopf link Hopf manifold Hopf surface Hopf theorem Hopf's integral formula Hopfion Hopf–Rinow theorem Freudenthal-Hopf theorems Killing–Hopf theorem Poincaré–Hopf theorem Grid cell topology Spherical space form conjecture Sphere theorem |
| Scientific career | |
| Fields | Mathematics |
| Institutions | ETH Zürich |
| Thesis | Über Zusammmenhänge zwischen Topologie und Metrik von Mannigfaltigkeiten[1] (1925) |
| Doctoral advisor | Erhard Schmidt Ludwig Bieberbach |
| Doctoral students | Beno Eckmann Hans Freudenthal Alfred Frölicher Werner Gysin Friedrich Hirzebruch Michel Kervaire Willi Rinow Hans Samelson Ernst Specker Eduard Stiefel James J. Stoker Alice Roth |
Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry.[2]
- ^ Heinz Hopf at the Mathematics Genealogy Project
- ^ I.M. James, ed. (24 August 1999). History of Topology. Elsevier. p. 991. ISBN 978-0-08-053407-7.