Camera Placement in Integer Lattices.
Characterizing certain staircase convex sets in .
Choquet theory in metric spaces.
Concerning Sets of the First Baire Category with Respect to Different Metrics
We prove that if and δ are the Hausdorff metric and the radial metric on the space ⁿ of star bodies in ℝ, with 0 in the kernel and with radial function positive and continuous, then a family ⊂ ⁿ that is meager with respect to need not be meager with respect to δ. Further, we show that both the family of fractal star bodies and its complement are dense in ⁿ with respect to δ.
Conformal Mappings onto Prescribed Regions via Optimization Techniques.
Continuity of the visibility function.
G. Beer defined the visibility function of a set S and proved its continuity in the interior of S. It is proved here that the visibility function of a planar Jordan domain is continuous precisely at the cone points of the boundary of S.
Cooperative guards in art galleries with one hole.
Covering belt bodies by smaller homothetical copies.