Beno Eckmann (31 March 1917 – 25 November 2008) was a
Swiss mathematician who made contributions to algebraic topology, homological algebra, group theory, and differential geometry.
Life
![Eckmann Hilton Serre Haefliger](https://upload.wikimedia.org/wikipedia/commons/7/76/Eckmann_Hilton_Serre_Haefliger.jpg)
Born in
Bern, Eckmann received his master's degree from
Eidgenössische Technische Hochschule Zürich
(colloquially)
, former_name = eidgenössische polytechnische Schule
, image = ETHZ.JPG
, image_size =
, established =
, type = Public
, budget = CHF 1.896 billion (2021)
, rector = Günther Dissertori
, president = Joël Mesot
, a ...
(ETH) in 1939. Later he studied there under
Heinz Hopf
Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of topology and geometry.
Early life and education
Hopf was born in Gräbschen, Germany (now , part of Wrocław, Poland), the son of Elizabeth ( ...
, obtaining his Ph.D. in 1941. Eckmann was the 2008 recipient of the
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 for "scientific findings, works, or publications related to Albert Einstein" each year.
Recipients
...
.
Legacy
Calabi–Eckmann manifolds,
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 ca ...
, the
Eckmann–Hilton argument, and the
Eckmann–Shapiro lemma are named after Eckmann.
Family
Eckmann's son is
mathematical physicist
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developmen ...
Jean-Pierre Eckmann.
Profile for Jean-Pierre Eckmann on geni.com
retrieved 2011-04-30
Photo of Jean-Pierre Eckmann as a child
with his parents, in the mathematical photo collection of the Mathematical Research Institute of Oberwolfach, retrieved 2011-04-30.
References
External links
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*
Biography of Beno Eckmann
{{DEFAULTSORT:Eckmann, Beno
1917 births
2008 deaths
People from Bern
20th-century Swiss mathematicians
21st-century Swiss mathematicians
ETH Zurich alumni
ETH Zurich faculty
Topologists
Albert Einstein Medal recipients