Beno Eckmann
Encyclopedia
Switzerland
Switzerland name of one of the Swiss cantons. ; ; ; or ), in its full name the Swiss Confederation , is a federal republic consisting of 26 cantons, with Bern as the seat of the federal authorities. The country is situated in Western Europe,Or Central Europe depending on the definition....
mathematician who was a student of Heinz Hopf
Heinz Hopf
Heinz Hopf was a German mathematician born in Gräbschen, Germany . He attended Dr. Karl Mittelhaus' higher boys' school from 1901 to 1904, and then entered the König-Wilhelm- Gymnasium in Breslau. He showed mathematical talent from an early age...
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Born in Bern, Eckmann received his master's degree from Eidgenössische Technische Hochschule Zürich (ETH) in 1931. Later he studied there under Heinz Hopf
Heinz Hopf
Heinz Hopf was a German mathematician born in Gräbschen, Germany . He attended Dr. Karl Mittelhaus' higher boys' school from 1901 to 1904, and then entered the König-Wilhelm- Gymnasium in Breslau. He showed mathematical talent from an early age...
, obtaining his Ph.D. in 1941. Eckmann was the 2008 recipient of the Albert Einstein Medal
Albert Einstein Medal
The Albert Einstein Medal is an award presented by the Albert Einstein Society in Bern. First given in 1979, the award is presented to people who have "rendered outstanding services" in connection with Albert Einstein each year.- Recipients :...
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Calabi–Eckmann manifold
Calabi–Eckmann manifold
In complex geometry, a part of mathematics, a Calabi–Eckmann manifold , named after Eugenio Calabi and Beno Eckmann, is a complex, homogeneous, non-Kaehler manifold, homeomorphic to a product of two odd-dimensional spheres of dimension ≥ 3.The Calabi–Eckmann manifold is constructed as follows...
s, Eckmann–Hilton duality
Eckmann–Hilton duality
In the mathematical disciplines of algebraic topology and homotopy theory, Eckmann–Hilton duality in its most basic form, consists of taking a given diagram for a particular concept and reversing the direction of all arrows, much as in category theory with the idea of the opposite category.It...
, the Eckmann–Hilton argument, and the Eckmann–Shapiro lemma
Shapiro's lemma
In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a...
are named after Eckmann.
Eckmann's son is mathematical physicist
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
Jean-Pierre Eckmann
Jean-Pierre Eckmann
Jean-Pierre Eckmann is a mathematical physicist in the department of theoretical physics at the University of Geneva and a pioneer of chaos theory and social network analysis....
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