Heinz Hopf (19 November 1894 to 3 June 1971) was a German mathematician who worked on dynamical systems, topology and geometry. He was born in Gräbschen, then in the German Empire and now Grabiszyn, part of Wrocław, Poland. His father was born Jewish and converted to Protestantism a year after Heinz was born, and his mother came from a Protestant family. He showed mathematical talent early and in 1913 entered the Silesian Friedrich Wilhelm University, where he attended lectures by Ernst Steinitz, Adolf Kneser, Max Dehn, Erhard Schmidt and Rudolf Sturm. When the First World War broke out in 1914 he enlisted eagerly, was wounded twice, and received the Iron Cross first class in 1918.
Facts
Connections
Attributed Works
Source Wikipedia: Hopf fibration
Source Hopf Link (Wikipedia)
Conjectures Posed
Source Wolfram MathWorld: Hopf Conjecture
In Branch
Source Wikipedia: Heinz Hopf
Source Wikipedia: Heinz Hopf
Source Wikipedia: Heinz Hopf
Proofs Credited
Source Hopf-Rinow theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Sources
1. Wikipedia: Heinz Hopf
LeadQuote, Lead
His father was born Jewish and converted to Protestantism a year after Heinz was born; his mother was from a Protestant family.
Hopf-Rinow theorem (Wikipedia)
Proofs Credited: Hopf-Rinow Theorem, LeadQuote, Proofs Credited: Hopf-Rinow Theorem, Lead
It is named after Heinz Hopf and his student Willi Rinow, who published it in 1931.
Hopf Link (Wikipedia)
Attributed Works: Hopf Link, LeadQuote, Attributed Works: Hopf Link, Lead
The Hopf link topology is highly conserved in proteins and adds to their stability. == History == The Hopf link is named after topologist Heinz Hopf, who considered it in 1931 as part of his research on the Hopf fibration.
Wikipedia: Hopf fibration
Attributed Works: Hopf Fibration, Lead paragraphQuote, Attributed Works: Hopf Fibration, Lead paragraph
Discovered by Heinz Hopf in 1931, it is an influential early example of a fiber bundle.
Wolfram MathWorld: Hopf Conjecture
Wolfram MathWorldConjectures Posed: Hopf Conjecture, LeadQuote, Conjectures Posed: Hopf Conjecture, Lead
The name "Hopf conjecture" is used for two different conjectures of Heinz Hopf relating the topology of a Riemannian manifold to its sectional curvature .
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