Constraints and the Bankston iteration sequence
by
Colin Turner
University of Ulster
Coauthors: Brian McMaster (Queen's University of Belfast)

Total negation is a process developed by Bankston which produces new topological properties from old. The process can be applied repeatedly to any arbitrary property, and it was shown by Matier and McMaster that these so called Bankston iteration sequences fell into only seven distinct patterns. Certain difficulties arise when the process is conducted within the constraint of a subfamily of topological spaces, and other patterns can emerge. However, under certain circumstances much can be said concerning the possible contrained Bankston sequences given the Bankston sequence in the family of all topological spaces.

Date received: June 29, 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 # cadg-04.