Closed convex sets of Motzkin and generalized Minkowski types

2023/01/23 by Juan Enrique Martínez-Legaz, Martínez-Legaz, Juan Enrique, Cornel Pintea +1
Mathematics · Computer Science · #Point processes and geometric inequalities #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2301.09504

Abstract

The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined and characterized. On the other hand, the Motzkin decomposable sets, along with their epigraphic versions are considered and characterized in new ways. Among them, the closed convex sets with one single minimal face, i.e. translated closed convex cones, along with their epigraphic counterparts are particularly studied.

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