Equicontinuity of maps on dendrites

Javier Camargo, Michael Rincón, Carlos Uzcátegui

Given a dendrite $X$ and a continuous map $f:X\to X$, we show the following are equivalent: (i) ${\omega }_f$ is continuous and $\overline{\mathrm{Per}(f)}=\bigcap_{n\in\mathbb{N}}f^…