Structure locale et globale des feuilletages de Rolle, un théorème de fibration. (Local and global structure of Rolle foliations, a fibration theorem)

DOI10.5802/aif.1629zbMath0901.57029OpenAlexW2320171725MaRDI QIDQ1266227

Fréderic Chazal

Publication date: 14 September 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_2_553_0

zbMATH Keywords

Morse functionRolle foliation

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Topological types of Pfaffian manifolds ⋮ Sur la topologie des fibres d'une fonction définissable dans une structure o-minimale. (On the topology of fibers of functions definable in an o-minimal structure) ⋮ Bounding the length of gradient trajectories

Cites Work

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• Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
• Semianalytic and subanalytic sets
• Foliations: geometric studies
• Finiteness theorems for Pfaffian manifolds
• Frobenius avec singularites. I: Codimension un
• Open manifolds foliated by planes
• On the algebraic foliations of Rolle
• Homology of semi-pfaffian sets
• Généralisation de la théorie de Morse aux variétés feuilletees
• Morse Theory. (AM-51)
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Singular Points of Complex Hypersurfaces. (AM-61)

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