Download or read book Combinatorial Patterns for Maps of the Interval written by Michał Misiurewicz and published by American Mathematical Soc.. This book was released on 1991 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representatives of a given cycle is elucidated, and maximal patterns and permutations of a given degree are characterized.