Topological convex modules and ordered Saks spaces
by
Dieter Pumplün
Fernuniversität Hagen

Convex modules, a natural generalization of convex subsets of real linear spaces, are the Eilenberg-Moore algebras of the base functor assigning to every base normed linear space its base. Analogously, topological convex modules are a canonical generalization of convex subsets of topological linear spaces. The starting point of this talk is the classical question, which convex subsets of topological linear spaces can be embedded, or even compactly embedded, into a locally compact linear space. Extending the method used in characterizing the convex modules as the Eilenberg-Moore algebras of the base functor yields a pair of adjoint functors between the category of topological convex modules and the category of ordered Saks spaces and a universal compactification of topological convex modules or convex subsets of topological linear spaces, respectively.

Date received: June 29, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeq-55.