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Ce travail donne un exposé systématique de la méthode dite cohomologique de D.C. Spencer et précise le cadre général des systèmes différentiels linéaires dans lequel cette méthode s’applique. La notion de groupoïde de Lie et d’espace fibré associé, due à C. Ehresmann, est aussi reprise. Définissant les prolongements des espaces fibrés, il montre qu’une connexion au sens de C. Ehresmann revient à la donnée d’une scission de certaine suite exacte de fibrés de prolongement (chap. I, II et III). Après...
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