Dendrite (mathematics)

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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.[1]

Dendrite Julia set

Dendrites may be used to model certain types of Julia set.[2] 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.[3]

References

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See also


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