# Comparing Periodic-Orbits of Maps of the Interval

First published in Transactions of the American Mathematical Society in 333 (2), 701-707, published by the American Mathematical Society.

#### Abstract

Let pi and theta be cyclic permutations of finite ordered sets. We say that pi forces theta if every continuous map of the interval which has a representative of pi also has one of theta . We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether pi forces theta .

*This paper has been withdrawn.*