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.