Geometric and topological properties of the Minkowski operator on convex sets

This paper systematically establishes the fundamental geometrical and topological properties of the Minkowski operator on convex sets in an Euclidean space. The convexity, closedness, and boundary properties of the Minkowski sum and difference are analyzed. In addition, results concerning the Minkowski sum and difference of open and closed sets are presented. The paper also constructs illustrative examples to clarify each of the obtained results.

Hali tarjima qilinmagan