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Splittability, constructible sets and minimality
by
Alan J. Hanna
The Queen's University of Belfast
Coauthors: T. B. M. McMaster (The Queen's University of Belfast)
Splittability was originally conceived by A. V. Arhangel'ski within a topological framework and later adapted for other mathematical structures including partially ordered sets. The close links between topology and order allow for a cross-pollination of splittability results. We illustrate this point by showing that natural topological properties arise from splitting over simple finite partial orders (T0 topologies). In particular, we examine properties derived from the idea of constructible sets and their associated minimality results deduced from splittability considerations.
Date received: May 26, 1999
Copyright © 1999 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 # cacl-23.