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Sets compact in and way-below other sets
by
Jimmie D. Lawson
Louisiana State University
A set is compact in a larger set if for every open cover of the larger set, there is a finite subcover of the smaller set. Elementary topological properties of this relationship are derived, then applied to notions of compactly generated spaces for general spaces. Finally extensions of the idea to general partially ordered sets are pursued.
Date received: August 3, 2001
Copyright © 2001 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 # cagx-59.