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Sur quelques phénomènes de captage

Claude Lamoureux (1973)

Annales de l'institut Fourier

Soit F une feuille d’un feuilletage transversalement C 2 transversalement orienté de codimension un d’une variété indifféremment compacte ou non compacte.Lorsque le “sécant d’homotopie” de F a “peu” de générateurs, nous démontrons plusieurs conditions suffisantes pour que F soit propre et d’enveloppe composée de feuilles fermées.L’une de ces conditions est que la feuille F n’est pas captée.Applications aux feuilletages des variétés dont le groupe fondamental est une extension finie de Z . Exemples...

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