Differentiable structures of elliptic surfaces with cyclic fundamental group
Differentiable structures on a generalized product of spheres.
Differential equations in metric spaces
Differential equations in metric spaces
We give a meaning to derivative of a function , where is a complete metric space. This enables us to investigate differential equations in a metric space. One can prove in particular Gronwall’s Lemma, Peano and Picard Existence Theorems, Lyapunov Theorem or Nagumo Theorem in metric spaces. The main idea is to define the tangent space of . Let , be continuous at zero. Then by the definition and are in the same equivalence class if they are tangent at zero, that is if By we denote...
Differential equations, Spencer cohomology, and computing resolutions.
Differential Invariance of Multiplicity of Analytic Varieties.
Differential operators on homogeneous spaces. III. Characteristic varieties of Harish Chandra modules and of primitive ideals.
Differential Topology and the Computation of Total Absolute Curvature.
Dimension and decompositions
Dimension des orbites d'une action de ... sur une variété compacte.
Dimension Functions of Homotopy Representations for Compact Lie Groups.
Dimension globale et classe fondamentale d'un espace
L’algèbre de Pontryagin d’un espace -elliptique vérifie le théorème d’Auslander-Buchsbaum-Serre. Nous donnons ici plusieurs caractérisations des espaces -elliptiques tels que gldim( et lorsque est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des ” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.
Directional properties of sets definable in o-minimal structures
In a previous paper by Koike and Paunescu, it was introduced the notion of direction set for a subset of a Euclidean space, and it was shown that the dimension of the common direction set of two subanalytic subsets, called the directional dimension, is preserved by a bi-Lipschitz homeomorphism, provided that their images are also subanalytic. In this paper we give a generalisation of the above result to sets definable in an o-minimal structure on an arbitrary real closed field. More precisely, we...
Discontinuous groups in some metric and nonmetric spaces
Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices
Let be a flat surface of genus with cone type singularities. Given a bipartite graph isoradially embedded in , we define discrete analogs of the Dirac operators on . These discrete objects are then shown to converge to the continuous ones, in some appropriate sense. Finally, we obtain necessary and sufficient conditions on the pair for these discrete Dirac operators to be Kasteleyn matrices of the graph . As a consequence, if these conditions are met, the partition function of the dimer...
Discrete -groups with a parabolic generator.
Discrete Morse inequalities on infinite graphs.
Discrete Morse theory and graph braid groups.
Discrete thickness
We investigate the relationship between a discrete version of thickness and its smooth counterpart. These discrete energies are deffned on equilateral polygons with n vertices. It will turn out that the smooth ropelength, which is the scale invariant quotient of length divided by thickness, is the Γ-limit of the discrete ropelength for n → ∞, regarding the topology induced by the Sobolev norm ‖ · ‖ W1,∞(S1,ℝd). This result directly implies the convergence of almost minimizers of the discrete energies...