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
Suggested citation
D. Pumplün. “A Universal Compactification of Topological Positively Convex Sets.” Journal of Convex Analysis 18 (2011), No. 4, 999–1012.
Copyright Heldermann Verlag 2011