Ver Eecke, Paul Sur le groupe fondamental d’un feuilletage. (The fundamental group of a foliation). (French) Zbl 0575.57015 C. R. Acad. Sci., Paris, Sér. I 300, 55-58 (1985). This note is a contribution to recent work on the transverse structure of a foliation [J. Pradines, ibid. 298, 297-300 (1984; Zbl 0568.57018); see also Structure transverse des feuilletages, Toulouse 1982, Astérisque 116 (1984; Zbl 0534.00014)]. The fundamental group \(\pi\) (\({\mathcal F})\) of a foliated manifold (V,\({\mathcal F})\), introduced by W. van Est [ibid. 116, 235-292 (1984; Zbl 0543.58003)] in the abstract framework of manifold schemes, is here considered from a purely geometrical point of view. The canonical epimorphism \(\pi\) (V)\(\to \pi ({\mathcal F})\) is described and also, in case of \({\mathcal F}\) simple, the canonical isomorphism of \(\pi\) (\({\mathcal F})\) with the fundamental group of the space of leaves V/\({\mathcal F}\). A forthcoming paper [Cah. Topologie Géom. Différ. Catégoriques 25, 381-428 (1984)] will include complete proofs. Cited in 1 Document MSC: 57R30 Foliations in differential topology; geometric theory 57M05 Fundamental group, presentations, free differential calculus Keywords:fundamental group of a foliated manifold; transverse structure of a foliation; manifold schemes; space of leaves Citations:Zbl 0568.57018; Zbl 0534.00014; Zbl 0543.58003 PDFBibTeX XMLCite \textit{P. Ver Eecke}, C. R. Acad. Sci., Paris, Sér. I 300, 55--58 (1985; Zbl 0575.57015)