International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 26, Pages 1683-1692

Time-symmetric cycles

Chris Bernhardt

Department of Mathematics and Computer Science, Fairfield University, Fairfield 06824, CT, USA

Received 18 August 2002

Copyright © 2003 Chris Bernhardt. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main result of this note is that given any two time-symmetric cycles, one can find a time-symmetric extension of one by the other. This means that given a time-symmetric cycle, both time-symmetric doubles and square roots can be found.