Bounded Equivalence of Hull Classes in Archimedean

Authors: Ricardo E Carrera Anthony W Hager

Publish Date: 2015/03/31

Volume: 24, Issue: 2, Pages: 163-179

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Abstract

A hull class in a category is an object class H for which each object has a unique minimal essential extension in H This paper addresses the enormity of the collection of hull classes in the category W of Archimedean lgroups with distinguished weak order unit through consideration of the action on the hull classes of the bounded coreflection textbf W overset Brightarrow textbf Wast onto the subcategory where the units are strong It is shown that hull classes go forth under B and back under B −1 that the Bequivalence class of a hull class in W always has a top and that these Bequivalence classes are frequently not sets The property “top” is related to various other properties that hull classes might have This paper is the third by us on the complex taxonomy of hull classes in W and more are planned

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