• 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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  • 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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  • 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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  • 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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  • Thumbnail for Heinz Hopf (actor)
    Heinz Willy Gustav Hopf (November 11, 1934 – January 23, 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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  • 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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  • 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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  • In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative)...
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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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  • 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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  • 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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  • 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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  • Thumbnail for Yakov Eliashberg
    University of Uppsala in 2017. In 2013 Eliashberg shared with Helmut Hofer the Heinz Hopf Prize from the ETH, Zurich, for their pioneering research in symplectic...
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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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  • 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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  • Thumbnail for Michael Rapoport
    won the Gay-Lussac Humboldt Prize, and he is the recipient of the 2011 Heinz Hopf Prize. In 1994, he was an Invited Speaker (with talk Non-Archimedean period...
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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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  • 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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  • 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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  • question of whether it has a complex structure is known as the Hopf problem, after Heinz Hopf.) Using an almost complex structure we can make sense of holomorphic...
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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 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 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 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 Richard Schoen
    shared with Charles Fefferman. In the same year, he was awarded the Heinz Hopf Prize, the Lobachevsky Medal and Prize by Kazan Federal University, and...
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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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  • Thumbnail for Algebraic topology
    Israel Gelfand Alexander Grothendieck Allen Hatcher Friedrich Hirzebruch Heinz Hopf Michael J. Hopkins Witold Hurewicz Egbert van Kampen Daniel Kan Hermann...
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  • manifolds are called space forms. The Killing–Hopf theorem was proved by Killing (1891) and Hopf (1926). Hopf, Heinz (1926), "Zum Clifford-Kleinschen Raumproblem"...
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