-minimal pairs of compact convex sets.
Calibrations and the size of Grassmann faces.
Cambrian fans
For a finite Coxeter group and a Coxeter element of ; the -Cambrian fan is a coarsening of the fan defined by the reflecting hyperplanes of . Its maximal cones are naturally indexed by the -sortable elements of . The main result of this paper is that the known bijection cl between -sortable elements and -clusters induces a combinatorial isomorphism of fans. In particular, the -Cambrian fan is combinatorially isomorphic to the normal fan of the generalized associahedron for . The rays...
Camera Placement in Integer Lattices.
Can You Cover Your Shadows?
Can you recognize the shape of a figure from its shadows?
Caractérisation des ellipsoïdes par leurs groupes d'automorphismes
Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.
Carathéodory's and Helly's dimensions of products of convexity structures
Cardinality estimates for piecewise congruences of convex polygons.
Cardinality of some convex sets and of their sets of extreme points
We show that the cardinality of a compact convex set W in a topological linear space X satisfies the condition that . We also establish some relations between the cardinality of W and that of extrW provided X is locally convex. Moreover, we deal with the cardinality of the convex set E(μ) of all quasi-measure extensions of a quasi-measure μ, defined on an algebra of sets, to a larger algebra of sets, and relate it to the cardinality of extrE(μ).
Castles in the Air Revisited.
Cauchy problems for discrete affine minimal surfaces
In this paper we discuss planar quadrilateral (PQ) nets as discrete models for convex affine surfaces. As a main result, we prove a necessary and sufficient condition for a PQ net to admit a Lelieuvre co-normal vector field. Particular attention is given to the class of surfaces with discrete harmonic co-normals, which we call discrete affine minimal surfaces, and the subclass of surfaces with co-planar discrete harmonic co-normals, which we call discrete improper affine spheres. Within this classes,...
Central points of convex sets
Centrally-symmetric tight surfaces and graph embeddings.
Chains, Flowers, Rings and Peanuts: Graphical Geodesic Lines and Their Application to Penrose Tiling
Characterizations of convex vector functions and optimization.
Characterizations of reduced polytopes in finite-dimensional normed spaces.
Characterizations of transversal and fundamental transversal matroids.
Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.