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Charles Ehresmann information


Charles Ehresmann
Charles Ehresmann (right) at the topology conference 1949 in Oberwolfach, together with Paul Vincensini (middle) and Georges Reeb (left)
Born(1905-04-19)19 April 1905
Straßburg, Alsace-Lorraine, German Empire (today Strasbourg, Alsace, France)
Died22 September 1979(1979-09-22) (aged 74)
Amiens, Picardy, France
NationalityFrench
Alma materÉcole Normale Supérieure
Known forAlmost complex manifold
Ehresmann's fibration theorem
Ehresmann connection
Jet bundle
Lie groupoid
Sketch
Strict 2-category
SpouseAndrée Ehresmann
AwardsPrix Francoeur
Scientific career
FieldsMathematics
InstitutionsUniversity of Strasbourg
Paris Diderot University
ThesisSur la topologie de certains espaces homogènes (1934)
Doctoral advisorÉlie Cartan
Doctoral students
  • Jean Bénabou
  • Jacques Feldbau
  • André Haefliger
  • Paulette Libermann
  • Nguyen Dinh Ngoc
  • Valentin Poénaru
  • Georges Reeb
  • Wu Wen-Tsün

Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory.

He 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.

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Charles Ehresmann

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Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory....

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Ehresmann connection

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In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of...

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Jacques Feldbau

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on differential geometry and topology. He was the first student of Charles Ehresmann. He is known as one of the founders of the theory of fiber bundles...

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Charles

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times with Charles X, Charles XI, Charles XII, Charles XIII, Charles XIV and Charles XV. Charles I of England (1600–1649) is followed by Charles II of England...

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Nicolas Bourbaki

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and were respectively replaced by new participants Jean Coulomb and Charles Ehresmann. The group's official founding conference was held in Besse-en-Chandesse...

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Almost complex manifold

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important 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...

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Fiber bundle

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to Seifert, Heinz Hopf, Jacques Feldbau, Whitney, Norman Steenrod, Charles Ehresmann, Jean-Pierre Serre, and others. Fiber bundles became their own object...

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Lie groupoid

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counterparts of Lie algebroids. Lie groupoids were introduced by Charles Ehresmann under the name differentiable groupoids. A Lie groupoid consists of...

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Jet bundle

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of Taylor expansions. Historically, jet bundles are attributed to Charles Ehresmann, and were an advance on the method (prolongation) of Élie Cartan,...

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Algebraic topology

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Browder Ronald Brown Henri Cartan Shiing-Shen Chern Albrecht Dold Charles Ehresmann Samuel Eilenberg Hans Freudenthal Peter Freyd Pierre Gabriel Israel...

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Pointless topology

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first person to exploit this idea. Others continued this path till Charles Ehresmann and his student Jean Bénabou (and simultaneously others), made the...

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Erlangen program

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algebra of mappings." Relations of the Erlangen program with work of Charles Ehresmann on groupoids in geometry is considered in the article below by Pradines...

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Differential geometry

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understanding of differential forms, Charles Ehresmann who introduced the theory of fibre bundles and Ehresmann connections, and others. Of particular...

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Solder form

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needed to express it. Soldering was introduced in this general form by Charles Ehresmann in 1950. Let M be a smooth manifold, and G a Lie group, and let E...

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Timeline of category theory and related mathematics

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logic Jean Dieudonné; The historical development of algebraic geometry Charles Weibel; History of homological algebra Peter Johnstone; The point of pointless...

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Wu Wenjun

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des structures fibrées sphériques, written under the direction of Charles Ehresmann. Afterwards, he did some work in Paris with René Thom and discovered...

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Riemannian connection on a surface

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is due essentially to Charles Ehresmann. However, it is different from, though related to, what is commonly called an Ehresmann connection. It is also...

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Jean Delsarte

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(accompanying her brother André), Charles Pisot, André Weil (hidden), Jean Dieudonné (sitting), Claude Chabauty, Charles Ehresmann, and Jean Delsarte. Born Jean...

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