Convex geometry and point set configurations form a pivotal area of research in computational geometry, where the primary focus is the study of convex sets and the intricate arrangements of points in ...

We prove the following: Given a subset X of a compact 0-dimensional metric space Z and an integer d ≥ 3, there is a homeomorphism of Z into the boundary of a convex body C in Ed mapping X onto the set ...

We study containment and uniqueness problems concerning matrix convex sets. First, to what extent is a matrix convex set determined by its first level? Our results in this direction quantify the ...