Abstract

A topological positively convex set is a positively convex subset of a topological real linear space with the induced topology. Topological positively convex modules are a canonical generalization defined without the requirement to be a subset of a linear space. For any topological positively convex module or set there is a universal continuous positively affine mapping to a regularly ordered Saks space yielding the universal compactification

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Suggested citation

D. Pumplün. “A Universal Compactification of Topological Positively Convex Sets.” Journal of Convex Analysis 18 (2011), No. 4, 999–1012. https://doi.org/10.68381/jca18061

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press LLC.