• Thumbnail for Heinz Hopf
    Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. Hopf was...
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  • The Heinz Hopf Prize is awarded every two years at ETH Zurich. The prize honours outstanding scientific work in the field of pure mathematics. It is named...
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  • Thumbnail for Poincaré–Hopf theorem
    differential topology. It is named after Henri Poincaré and Heinz Hopf. The Poincaré–Hopf theorem is often illustrated by the special case of the hairy...
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  • Thumbnail for Heinz Hopf (actor)
    Heinz Willy Gustav Hopf (11 November 1934 – 23 January 2001) was a Swedish actor. He was born in Stockholm but moved to Lund where he studied at Lund...
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  • Thumbnail for Hopf fibration
    ordinary sphere. Discovered by Heinz Hopf in 1931, it is an influential early example of a fiber bundle. Technically, Hopf found a many-to-one continuous...
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  • In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra and a (counital coassociative)...
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  • Thumbnail for Hopf link
    consists of two circles linked together exactly once, and is named after Heinz Hopf. A concrete model consists of two unit circles in perpendicular planes...
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  • mathematics, Hopf conjecture may refer to one of several conjectural statements from differential geometry and topology attributed to Heinz Hopf. The Hopf conjecture...
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  • surface" to mean "primary Hopf surface".) The first example was found by Heinz Hopf (1948), with the discrete group isomorphic to the integers, with a generator...
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  • The Hopf theorem (named after Heinz Hopf) is a statement in differential topology, saying that the topological degree is the only homotopy invariant of...
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  • to a group of isometries of the 3-sphere. The conjecture was posed by Heinz Hopf in 1926 after determining the fundamental groups of three-dimensional...
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  • The Hopf–Rinow theorem is a set of statements about the geodesic completeness of Riemannian manifolds. It is named after Heinz Hopf and his student Willi...
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  • under the pseudonym Alex Fridolinski, and starring Christina Lindberg and Heinz Hopf. It tells the story of a mute young woman who is forced into heroin addiction...
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  • applications in symplectic geometry. The concept is due to Charles Ehresmann and Heinz Hopf in the 1940s. Let M be a smooth manifold. An almost complex structure...
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  • tenor Heinz Hopf (1894–1971), German mathematician Heinz Hopf (actor) (1934–2001), Swedish actor Ludwig Hopf (1884–1939), German physicist Maria Hopf (1914-2008)...
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  • 1951), German actor Heinz Höher (1938–2019), German footballer Heinz Höhne (1926–2010), German journalist and historian Heinz Hopf (1894–1971), German...
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  • was defined by George W. Whitehead (1942), extending a construction of Heinz Hopf (1935). Whitehead's original homomorphism is defined geometrically, and...
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  • a topological construction based on Clifford parallel pointed out by Heinz Hopf (1931) The lines on 1 in elliptic space are described by versors with...
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  • of them." Hopf was first cousins with mathematician Heinz Hopf and first cousins once removed with composer Franz Reizenstein. Ludwig Hopf, Introduction...
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  • the Hopf invariant is a homotopy invariant of certain maps between n-spheres. In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map η...
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  • Collection. Christina Lindberg ... Lena Svensson (as Cristina Lindberg) Heinz Hopf... Helge Björn Adelly ... Jan, Lena's boyfriend Siv Ericks ... Jan's Mother...
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  • Elfström, Tor Isedal, Curt Broberg and Ulf von Zweigbergk as prisoners Heinz Hopf, Carl Billquist as Gestapo Officers Nils Eklund as Bartender Egil Holmsen...
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  • Thumbnail for Hopfion
    deformed but always conserves an integer Hopf topological invariant. It is named after the German mathematician, Heinz Hopf. A model that supports hopfions was...
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  • Thumbnail for Homotopy groups of spheres
    ordinary 2-sphere, and was discovered by Heinz Hopf, who constructed a nontrivial map from S3 to S2, now known as the Hopf fibration. This map generates the...
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  • Thumbnail for Herbert Seifert
    Göttingen, where topologists such as Pavel Sergeevich Alexandrov and Heinz Hopf were working. In 1930 he received his doctorate with his work on three-dimensional...
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  • Thumbnail for David Carradine
    directed by Mats Helge Olsson, making him one of three actors (including Heinz Hopf and Tor Isedal) who have starred in both an Ingmar Bergman movie and an...
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  • Thumbnail for Lev Pontryagin
    mathematical symbols, read mathematical books and papers (notably those of Heinz Hopf, J. H. C. Whitehead, and Hassler Whitney) to him, and later worked as...
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  • Thumbnail for Beno Eckmann
    studied there under Heinz Hopf, obtaining his Ph.D. in 1941. His dissertation, on homotopy theory, was jointly supervised by Heinz Hopf and Ferdinand Gonseth...
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  • Thumbnail for Robert MacPherson (mathematician)
    Research by the American Mathematical Society. In 2009 he received the Heinz Hopf Prize from ETH Zurich. In 2012, he became a fellow of the American Mathematical...
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  • Eberhard Hopf, Heinz Hopf, Herman Müntz, Wilhelm Meyer, and Abraham Plessner. Some emigrated to the United States, others to European countries; Heinz Hopf spent...
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