Sharkovskii order for non-wandering points

M. Carvalho, F. Moreira

For a map $f:I\to I$, a point $x\in I$ is periodic with period $p\in \mathbb{N}$ if $f^p(x)=x$ and $f^j(x)\ne x$ for all $0<j<p$. When $f$ is continuous and $I$ is an i…