
Journal of Convex Analysis 08 (2001), No. 1, 255268 Copyright Heldermann Verlag 2001 The Universal Compactification of Topological Convex Sets and Modules Dieter Pumplün Fachbereich Mathematik, Fernuniversität, 58084 Hagen, Germany A topological convex set is a convex set in a topological linear space with the induced topology. There is a universal continuous affine mapping of such a set into a compact convex subset of a locally convex linear space. Actually this compactification is a subset of a base normed Saks space. The results also hold for topological convex modules. [ Fulltextpdf (344 KB)] 