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.

Dendrites may be used to model certain types of Julia set. For example, if 0 is pre-periodic, but not periodic, under the function ${\displaystyle f(z)=z^{2}+c}$, then the Julia set of ${\displaystyle f}$ is a dendrite.

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