The possibility of extending factorization results to infinite Abelian groups.
The Poulsen simplex
It is proved that there is a unique metrizable simplex whose extreme points are dense. This simplex is homogeneous in the sense that for every 2 affinely homeomorphic faces and there is an automorphism of which maps onto . Every metrizable simplex is affinely homeomorphic to a face of . The set of extreme points of is homeomorphic to the Hilbert space . The matrices which represent are characterized.
The problem of polygons with hidden vertices.
The projective interpretation of the eight 3-dimensional homogeneous geometries.
The Quotient Space of C P (2) by Complex Conjugation is the 4-Sphere.
The rank of extreme positive operators on polyhedral cones
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