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Propaganda for Polar Functions
by
Jorge Martinez
University of Florida
Coauthors: Anthony W. Hager (Wesleyan University)
A polar function is an assignment of an archimedean l-group with weak unit G to a sublattice X(G) of the algebra of polars. Such things have arisen naturally in the study of projectable hulls. We seek to promote the study of polar function. They abound. They are models for some rather natural constructions in archimedean l-groups. And they have a nice associated "dual"; namely the notion of a covering function: an assignment which assigns a compact space X to a subalgebra K(X) of the algebra of regular closed sets. One may soon read an exposition on this subject in the forthcoming Proceedings of Ord01.
Date received: January 10, 2002
Copyright © 2002 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 # cain-02.