Dendrite (mathematics)
# Dendrite (mathematics)

In mathematics, a dendrite is a certain type of topological space that may be characterized either as a locally connected dendroid or equivalently as a locally connected continuum that contains no simple closed curves.

## Importance

Dendrites may be used to model certain types of Julia set. For example, if 0 is pre-periodic, but not periodic, under the function $f(z)=z^{2}+c$, then the Julia set of $f$ is a dendrite: connected, without interior.

