Théorème d'approximation et espaces de Hopf.
Theorems of the alternative for cones and Lyapunov regularity of matrices
Standard facts about separating linear functionals will be used to determine how two cones and and their duals and may overlap. When is linear and and are cones, these results will be applied to and , giving a unified treatment of several theorems of the alternate which explain when contains an interior point of . The case when is the space of Hermitian matrices, is the positive semidefinite matrices, and yields new and known results about the existence of block diagonal...
Theorems on equipartition of a continuous mass distribution.
Theorems on the Existence of Separating Surfaces.
There Exist 6n/13 Ordinary Points.
There is no cogenerator of totally convex spaces
Thin-shell concentration for convex measures
We prove that for s < 0, s-concave measures on ℝⁿ exhibit thin-shell concentration similar to the log-concave case. This leads to a Berry-Esseen type estimate for most of their one-dimensional marginal distributions. We also establish sharp reverse Hölder inequalities for s-concave measures.
Tietze's convexity theorey for lattices and semilattices.
Tiling with smooth and rotund tiles
Tilings and isoperimetrical shapes I: Square lattice
Tilings and isoperimetrical shapes. II. Hexagonal lattice
Topological proper separation theorems
Topological Structure of Non-separable Sigma-locally Compact Convex Sets
Topologies faciales dans les convexes compacts. Calcul fonctionnel et décomposition spectrale dans le centre d’un espace
Cet article étudie, sur l’ensemble des points extrémaux d’un convexe compact , des topologies faciales dont les fermés sont les traces de faces “parallélisables” (il existe une plus grande face disjointe de , et tout de s’écrit , avec unique). Les topologies faciales uniformisables sont en bijection avec les sous-espaces réticulés fermés et contenant 1 de l’espace des fonctions affines continues sur . Ceci redonne des résultats classiques sur les simplexes, et permet une étude...
Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices
Continuing earlier work by Székelyhidi, we describe the topological and geometric structure of so-called T4-configurations which are the most prominent examples of nontrivial rank-one convex hulls. It turns out that the structure of T4-configurations in is very rich; in particular, their collection is open as a subset of . Moreover a previously purely algebraic criterion is given a geometric interpretation. As a consequence, we sketch an improved algorithm to detect T4-configurations. ...
Toughness and Delaunay Triangulations.
Transitivity Domains of Groups of Similarities.
Translative integral formulae for convex bodies.
Triangulation automatique d’un polyèdre en dimension
Tropical convexity.