Topological order complexes and resolutions of discriminant sets.
Topological proper separation theorems
Topological Representation of Dual Pairs of Oriented Matroids.
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. ...
Topology of arrangements and position of singularities
This work contains an extended version of a course given in Arrangements in Pyrénées. School on hyperplane arrangements and related topics held at Pau (France) in June 2012. In the first part, we recall the computation of the fundamental group of the complement of a line arrangement. In the second part, we deal with characteristic varieties of line arrangements focusing on two aspects: the relationship with the position of the singular points (relative to projective curves of some prescribed degrees)...
Tori in dichten gitterförmigen Kugelpackungen
Toric hyperkähler varieties.
Toric varieties in phylogenetics [Book]
Toric varieties, lattice points and Dedekind sums.
Toughness and Delaunay Triangulations.
Towards Sub-cellular Modeling with Delaunay Triangulation
In this article a novel model framework to simulate cells and their internal structure is described. The model is agent-based and suitable to simulate single cells with a detailed internal structure as well as multi-cellular compounds. Cells are simulated as a set of many interacting particles, with neighborhood relations defined via a Delaunay triangulation. The interacting sub-particles of a cell can assume specific roles – i.e., membrane sub-particle, internal sub-particle, organelles, etc –,...
Transformationen von Polyedern in Polyederketten.
Transitivity Domains of Groups of Similarities.
Translative integral formulae for convex bodies.
Translative packing of a convex body by sequences of its homothetic copies
Every sequence of positive or negative homothetic copies of a planar convex body whose total area does not exceed times the area of can be translatively packed in .
Translative packing of a square with sequences of squares
Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.
Trestles in polyhedral graphs
Triangulating Point Sets in Space.