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Journal of Convex Analysis 08 (2001), No. 1, 255--268
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.

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