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A survey of classical completeness properties and domain-representability
by
David Lutzer
College of William and Mary
Coauthors: Harold Bennett (Texas Tech University)
In this paper we survey open questions about classical strong completeness properties introduced by Oxtoby, Choquet, and deGroot, and we show how these properties are related to the newer completeness property called domain representability. We examine the interrelations of these properties in special classes such as Moore and BCO spaces, in function spaces Cp(X), and in GO-spaces constructed on subsets of the real line.
Date received: February 4, 2008
Copyright © 2008 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 # cawk-33.