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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 321761, 6 pages
doi:10.1155/2008/321761

Continuity in partially ordered sets

Venu G. Menon

Department of Mathematics, University of Connecticut, Stamford, CT 06901, USA

Abstract

The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.