Sharkovsky定理

摘要：

原始证明的Sharkovsky定理的全部细节。具有基本实分析背景的读者应该能够理解证明。虽然现在有几个替代的证明这个经典的结果，我们相信原来的证明有独立的利益。一方面，它表明了作者推导结果所遵循的路径;另一方面，该证明中的许多辅助结果具有独立的意义。此外，证明本身并不广泛，非常简洁，并包含几个印刷错误。

英文摘要：

The original proof of the Sharkovsky theorem is presented in full detail. The proof should be accessible to readers with basic Real Analysis background. Although nowadays there are several alternative proofs of this classical result, we believe the original proof has independent interest. On the one hand, it shows the path followed by the author to derive his result; on the other hand, many auxiliary results in this proof have independent interest. Moreover, the proof itself is not widely available, is very terse, and contains several typographical errors.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。