Let f be a continuous map of a closed interval into itself, and let P(f) denote the set of positive integers k such that f has a periodic point of period k. Consider the following ordering of positive ...

For a continuous map of the interval the following conditions are equivalent: (1) the period of every periodic point is a power of 2, (2) $\bar R^{(+)} \cap \bar R^{(-)} - R = \varnothing$, and (3) ...