Editing Heinz Hopf (section)

{{short description|German mathematician (1894–1971)}}
{{for|the Swedish actor|Heinz Hopf (actor)}}
{{Use dmy dates|date=May 2023}}
{{Infobox scientist
| name              = Heinz Hopf
| image             = ETH-BIB-Hopf, Heinz (1894-1971)-Portr 07480.jpg
| caption           = Hopf in 1954
| birth_date        = {{birth date|1894|11|19|df=y}}
| birth_place       = Gräbschen, [[Province of Silesia|Silesia]], [[Kingdom of Prussia|Prussia]], [[German Empire]]
| death_date        = {{death date and age|1971|06|03|1894|11|19|df=y}}
| death_place       = [[Zollikon]], [[Canton of Zürich|Zürich]], [[Switzerland]]
| fields            = Mathematics
| workplaces        = [[ETH Zürich]]
| alma_mater        = [[Humboldt University of Berlin|University of Berlin]]
| thesis_year       = 1925
| thesis_title      = Über Zusammmenhänge zwischen Topologie und Metrik von Mannigfaltigkeiten<ref>{{mathGenealogy|17409}}</ref>
| doctoral_advisor  = [[Erhard Schmidt]]<br>[[Ludwig Bieberbach]]
| doctoral_students = [[Beno Eckmann]]<br>[[Hans Freudenthal]]<br>[[Alfred Frölicher]]<br>[[Werner Gysin]]<br>[[Friedrich Hirzebruch]]<br>[[Michel Kervaire]]<br>[[Willi Rinow]]<br>[[Hans Samelson]]<br>[[Ernst Specker]]<br>[[Eduard Stiefel]]<br>[[James J. Stoker]]<br>[[Alice Roth]]
| known_for         = [[Almost complex manifold]]<br>[[H-space]]<br>[[Hopf algebra]]<br>[[Hopf conjecture]]<br>[[Hopf fibration]]<br>[[Hopf invariant]]<br>[[Hopf link]]<br>[[Hopf manifold]]<br>[[Hopf surface]]<br>[[Hopf theorem]]<br>[[Group cohomology#History and relation to other fields|Hopf's integral formula]]<br>[[Hopfion]]<br>[[Hopf–Rinow theorem]]<br>[[Stallings theorem about ends of groups|Freudenthal-Hopf theorems]]<br>[[Killing–Hopf theorem]]<br>[[Poincaré–Hopf theorem]]<br>[[Grid cell topology]]<br>[[Spherical space form conjecture]]<br>[[Sphere theorem]]
| awards            = 
}}

'''Heinz Hopf''' (19 November 1894 – 3 June 1971) was a German [[mathematician]] who worked on the fields of [[dynamical systems]], [[topology]] and [[geometry]].<ref>{{cite book|editor=I.M. James|title=History of Topology|url=https://books.google.com/books?id=7iRijkz0rrUC&pg=PA991|date=24 August 1999|publisher=Elsevier|isbn=978-0-08-053407-7|page=991}}</ref>