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Cantor tree surface

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In dynamical systems, the Cantor tree is an infinite genus surface homeomorphic to a sphere with a Cantor set removed. The blooming Cantor tree is a Cantor tree with an infinite number of handles added in such a way that every end is a limit of handles.

See also

References

  • Ghys, Étienne (1995), "Topologie des feuilles génériques", Annals of Mathematics. Second Series, 141 (2): 387–422, doi:10.2307/2118526, ISSN 0003-486X, MR1324140
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