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Cantor tree surface

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The non-singular points of an Alexander horned sphere form a Cantor tree surface

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 handleslol suprise.

See also

References

  • Template:Citafick daarrvtion
  • Walczak, Paweł (2004), Dynamics of foliations, groups and pseudogroups, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)], vol. 64, Birkhäuser Verlag, ISBN 978-3-7643-7091-6, MR 2056374

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