A characterization of the disc
A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities.
A Deformation Lemma on a C1 manifold.
A proof of Reidemeister-Singer’s theorem by Cerf’s methods
Heegaard splittings and Heegaard diagrams of a closed 3-manifold are translated into the language of Morse functions with Morse-Smale pseudo-gradients defined on . We make use in a very simple setting of techniques which Jean Cerf developed for solving a famous pseudo-isotopy problem. In passing, we show how to cancel the supernumerary local extrema in a generic path of functions when . The main tool that we introduce is an elementary swallow tail lemma which could be useful elsewhere.
A user's guide to discrete Morse theory.
Bifurcations and Hamilton's Principle.
Circle-valued Morse theory and Reidemeister torsion.
Classification des germes à point critique isolé et à nombres de modules 0 ou 1
Closed Geodesics on Homogeneous Spaces.
Continuous mappings with an infinite number of topologically critical points
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
Controlled connectivity of closed 1-forms.
Convex functions on complete noncompact manifolds : differentiable structure
Coordinate morse theory.
Critical point theory with symmetries.
Critical sets in 3-space
Critical sets of 2-dimensional compact manifolds.
Degenerate critical points, homotopy indices and Morse inequalities.
Density and stability of Morse functions on a stratified space
Differential Topology and the Computation of Total Absolute Curvature.
Ein Lefschetz-Satz für Schnitte in projektivalgebraischen Mannigfaltigkeiten.