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11 Facts About Charles Ehresmann

1.

Charles Ehresmann was a German-born French mathematician who worked in differential topology and category theory.

2.

Charles Ehresmann was an early member of the Bourbaki group, and is known for his work on the differential geometry of smooth fiber bundles, notably the introduction of the concepts of Ehresmann connection and of jet bundles, and for his seminar on category theory.

3.

Charles Ehresmann completed his PhD thesis entitled Sur la topologie de certains espaces homogenes at ENS in 1934 under the supervision of Elie Cartan.

4.

In 1939 Charles Ehresmann became a lecturer at the University of Strasbourg, but one year later the whole faculty was evacuated to Clermont-Ferrand due to the German occupation of France.

5.

Charles Ehresmann was President of the Societe Mathematique de France in 1965.

6.

Charles Ehresmann was awarded in 1940 the Prix Francoeur for young researchers in mathematics and in 1967 an honorary doctorate by the University of Bologna.

7.

Charles Ehresmann held visiting chairs at Yale University, Princeton University, in Brazil, Buenos Aires, Mexico City, Montreal, and the Tata Institute of Fundamental Research in Bombay.

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8.

Charles Ehresmann developed the concept of fiber bundle, and the related notions of Ehresmann connection and solder form, building on the works by Herbert Seifert and Hassler Whitney in the 1930s.

9.

Norman Steenrod was working in the same direction from a topological point of view, but Charles Ehresmann, influenced by Cartan's ideas, was particularly interested in differentiable fiber bundles, and in the differential-geometric aspects of these.

10.

Charles Ehresmann's publications include the books Categories et structures and Algebre.

11.

Charles Ehresmann had 76 PhD students, including Georges Reeb, Wu Wenjun, Andre Haefliger, Valentin Poenaru, and Daniel Tanre.