How Charles Ehresmann's vision of geometry developed with time

• Autorzy: Andrée C. Ehresmann
• Języki publikacji: EN

Abstrakty

EN

In the mid fifties, Charles Ehresmann defined Geometry as "the theory of more or less rich structures, in which algebraic and topological structures are generally intertwined". In 1973 he defined it as the theory of differentiable categories, their actions and their prolongations. Here we explain how he progressively formed this conception, from homogeneous spaces to locally homogeneous spaces, to fibre bundles and foliations, to a general notion of local structures, and to a new foundation of differential geometry based on groupoids of jets and their actions. These successive generalizations led him to a turning point in the late fifties toward a categorical framework to which he devoted the rest of his life.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 29-34

Daty

wydano

2007

Twórcy

autor

Andrée C. Ehresmann

• Faculté de Mathématique et Informatique, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens, France

Identyfikatory

DOI

10.4064/bc76-0-1