Cantor tree surface

From Wikipedia, the free encyclopedia
Jump to: navigation, search
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 handles.

See also[edit]