Abstract

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

Author information

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Dieter Pumplün

Fachbereich Mathematik, Fernuniversität, 58084 Hagen, Germany

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Suggested citation

D. Pumplün. “The Universal Compactification of Topological Convex Sets and Modules.” Journal of Convex Analysis 8 (2001), No. 1, 255–267. https://doi.org/10.68381/jca08012

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Published by Heldermann Verlag, 2001. Rights now held by Banach Press.