The refinement and reverse of a geometric inequality.
The Reverse Isoperimetric Problem for Gaussian Measure.
The Rhombidodecahedral Tessellation of 3-Space and a Particular 15-Vertex Triangulation of the 3-Dimensional Torus.
The Salvetti complex and the little cubes
For a real central arrangement , Salvetti introduced a construction of a finite complex Sal which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement , the Salvetti complex Sal serves as a good combinatorial model for the homotopy type of the configuration space of points in , which is homotopy equivalent to the space of k little -cubes. Motivated by the importance of little cubes in homotopy theory, especially in the study of...
The semiregualr polytopes.
The simultaneous existence of linear functionals
The size of an annihilator in a factorization.
The size of the shadow boundary pojection.
The skeleta of convex bodies
The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
The space of maximal convex sets
The space of tropically collinear points is shellable.
The special cuts of the 600-cell.
The sphere packing problem.
The star number of coverings of space with convex bodies
The Steiner Minimal Network for Convex Configurations.
The sum of two plane convex C... sets is not always C...
The thinnest double lattice covering of three-spheres
The Thinnest Holding-Lattice of a Set.
The toric ideal of a matroid of rank 3 is generated by quadrics.
The upper bound conjecture for arrangements of halfspaces.