# The Sharkovsky Theorem: A Natural Direct Proof

@article{Burns2011TheST, title={The Sharkovsky Theorem: A Natural Direct Proof}, author={Keith Burns and Boris Hasselblatt}, journal={The American Mathematical Monthly}, year={2011}, volume={118}, pages={229 - 244} }

Abstract We give a natural and direct proof of a famous result by Sharkovsky that gives a complete description of possible sets of periods for interval maps. The new ingredient is the use of Štefan sequences.

## 23 Citations

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