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..
References
See also
Misiurewicz point Real tree, a related concept defined using metric spaces instead of topological spaces Dendroid (topology) and unicoherent space, two more general types of tree-like topological space