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, then the Julia set of is a dendrite: connected, without interior.