A characterization of shortest geodesics on surfaces.
A proof of the Chern-Lashof conjecture in dimensions greater than five.
A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
An Arzela-Ascoli theorem for immersed submanifolds
The classical Arzela-Ascoli theorem is a compactness result for families of functions depending on bounds on the derivatives of the functions, and is of invaluable use in many fields of mathematics. In this paper, inspired by a result of Corlette, we prove an analogous compactness result for families of immersed submanifolds which depends only on bounds on the derivatives of the second fundamental forms of these submanifolds. We then show how the result of Corlette may be obtained as an immediate...
Caracterización del anillo de funciones diferenciables de una variedad.
En el presente artículo se expone de modo resumido una caracterización de los anillos de funciones diferenciables de una variedad.
Chern classes of integral submanifolds of some contact manifolds.
Classes caractéristiques isotropes.
Cobordism of immersions and singular maps, loop spaces and multiple points
Cobordismes de plongments et produits homotopiques
Codimension two immersions of oriented Grassmann manifolds.
Combinatoire des simplexes sans singularités I. Le cas différentiable
On définit le bicomplexe , extension naturelle du complexe engendré par un ensemble simplicial . Ceci permet de définir la notion de ruban de base un cycle de . La somme directe de l’homologie des colonnes de contient, outre l’homologie de , des groupes dans lesquels se trouvent les obstructions à l’existence de rubans. Si est un sous-ensemble simplicial, stable par subdivision, de l’ensemble des simplexes singuliers d’un espace topologique, l’existence de rubans entraîne l’invariance...
Curves and surfaces in real projective spaces: an approach to generic projections
Deformation of string topology into homotopy skein modules.
Densidad de la transversalidad en multijets de variedades con borde anguloso.
Desingularisation of the triple points and of the stationary points of a map
Double point self-intersection surfaces of immersions.
Einbettungen Steinscher Mannigfaltigkeiten.
Embeddings from the point of view of immersion theory. I.
Embeddings from the point of view of immersion theory. II.
Extending immersed circles in the sphere to immersed disks in the ball.