Boltyanski's theorem

Boltyanski's theorem pertains to the study of convex sets in mathematics, particularly in the field of functional analysis and geometry. It asserts that under certain conditions, a collection of convex sets can be combined such that their union has specific desirable properties, like preserving the structure of convexity. Essentially, it provides insight into how complicated shapes can be understood and manipulated in spaces, making it a powerful tool in optimization and various applications in economics, engineering, and computer science, where understanding boundaries and interactions of multiple entities is crucial.