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Composants and the structure of periodic orbits for interval maps

机译：间隔图的合成物和周期轨道的结构

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摘要

Suppose f is a map from an interval [a, b] into itself with a periodic orbit consisting of the points P_1 < P_2 < ... < P_n • This paper begins with an analysis of the structure of periodic orbits for interval maps. Blocks are defined and used to describe this structure. With these structural theorems in place, results relating blocks of p_1, p_2, ..., Pn to irreducibility in the inverse limit of {[a, b], f} are proved. Assuming p_1,p_2,...,p_n is a Markov partition for f, necessary and sufficient conditions are given for two points of the inverse limit to belong to the same composant. This characterization of composants is used to show that the inverse limit is an E_0-type continuum.
机译：假设f是一个从间隔[a，b]到其自身的映射，其周期轨道由点P_1

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