Alexandroff Theorem in Hausdorff Topology for Null-Null-Additive Set Multifunctions
Alina Cristiana Gavriluţ · Annals of the Alexandru Ioan Cuza University - Mathematics · 2013
Abstract In this paper we further a previous study concerning abstract regularity for monotone set multifunctions, with has immediate applications in well-known situations such as the Borel δ-algebra of a Hausdorff space and/or the Borel (Baire, respectively) δ-ring or δ-ring of a locally compact Hausdorff space. We also study relationships among abstract regularities and other properties of continuity. Especially, a set-valued Alexandroff type theorem is obtained.