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arXiv · 0711.3892

A Simple Proof of Sharkovsky's Theorem Rerevisited

Bau-Sen Du
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Abstract

Based on various strategies and a new general doubling operator, we obtain several simple proofs of the celebrated Sharkovsky's cycle coexistence theorem. A simple non-directed graph proof which is especially suitable for a calculus course right after the introduction of Intermediate Value Theorem is also given (in section 3).

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Bau-Sen Du. 2007-11-25. A Simple Proof of Sharkovsky's Theorem Rerevisited. https://arxiv.org/abs/0711.3892

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