Constructible sets and properties derived from splittability
by
Alan Hanna
The Queen's University of Belfast
Coauthors: Brian McMaster, Declan McCartan

While originally conceived within a topological framework, the concept of splittability has been adapted for other mathematical structures including partially ordered sets. The close links between topology and order can be harnessed for splittability over T₀ topologies. We illustrate this point by showing that natural topological properties arise from splitting over simple finite partial orders. In particular, we examine properties derived from the idea of constructible sets and their associated minimality results deduced from splittability considerations.

Date received: June 30, 1999