Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

EXPONENTIAL LAWS FOR ORDERED “TOPOLOGICAL” VECTOR SPACES

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 177–198

DOI: 10.1080/16073606.1983.9632299

Author(s): Kyung , Chan Min Department of Mathematics and Statistics, Canada

Keywords: Primary 18D99 , 46A40 , 46M05; , Secondary , 06F99 , 22A99 , 47D15.

Abstract

The category of X-decomposable ordered vector spaces over a convenient category X is introduced and it is shown to uphold an exponential law [E8F,G] = [E,[F, G]] and to have limits and colimits. As the main special cases of X, the categories Cv (convergence spaces) and Bo (bornological spaces) are considered. The topological Cv-decomposable ordered vector spaces are precisely the ordered topological vector spaces whose positive cones give open decompositions.

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