Asphericity of shadows of a convex body.
Boundary of the union of rectangles in the plane
Given rectangles in a plane whose all sides belong to two perpendicular directions, an algorithm for the construction of the boundary of the union of those rectangles is shown in teh paper.
Classification of Arrangements by the Number of Their Cells.
Combinatorial d-Tori with a Large Symmetry Group.
Combinatorial fans, lattice-ordered groups, and their neighbours: A short excursion.
Computing Simple Circuits from a Set of Line Segments.
Computing the Volume is Difficult.
Convex bodies with circumscribing boxes of constant volume
Corrigendum to "Preassigning the Shape for Bodies of Constant Width".
Countably convex sets
We investigate countably convex subsets of Banach spaces. A subset of a linear space is countably convex if it can be represented as a countable union of convex sets. A known sufficient condition for countable convexity of an arbitrary subset of a separable normed space is that it does not contain a semi-clique [9]. A semi-clique in a set S is a subset P ⊆ S so that for every x ∈ P and open neighborhood u of x there exists a finite set X ⊆ P ∩ u such that conv(X) ⊈ S. For closed sets this condition...
Cutting Disjoint Disks by Straight Lines.
Densité et dimension
Une partie de est appelée une classe de Vapnik-Cervonenkis si la croissance de la fonction est polynomiale; ces classes se trouvent être utiles en Statistique et en Calcul des Probabilités (voir par exemple Vapnik, Cervonenkis [V.N. Vapnik, A.YA. Cervonenkis, Theor. Prob. Appl., 16 (1971), 264-280], Dudley [R.M. Dudley, Ann. of Prob., 6 (1978), 899-929]).Le présent travail est un essai de synthèse sur les classes de Vapnik-Cervonenkis. Mais il contient aussi beaucoup de résultats nouveaux,...
Determining Dimension of the Kernel of a Cone.
Diameter and Radius in the Manhattan Metric.
Equilateral simplices in normed 4-space.
Eulersche Charakteristik, Projektionen und Quermaßintegrale.
Fixing and hindering systems in combinatorial geometry.
Flight in a Packing of Disks.
Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane.
Gleichungen vom Dehn-Sommervilleschen Typ für nicht beschränkte konvexe Polytope und für Raumzerlegungen durch Hyperebenen.