BurnsHasselblattRevised-1.dvi
math.arizona.edu · 7,112 words · saved by 1 readers
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THE SHARKOVSKY THEOREM: A NATURAL DIRECT PROOF KEITH BURNS AND BORIS HASSELBLATT A BSTRACT. We give a proof of the Sharkovsky Theorem that is self- contained, short, direct and naturally adapted to the doubling struc- ture of the Sharkovsky ordering. 1. I NTRODUCTION In this note f is a continuous function from an interval into R; although this is usually assumed in the literature, the interval need not be closed or bounded. f n denotes the n-fold composition of f with itself. A point p is a…
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