Mazur's Theorem

The generalization of the Schönflies theorem to n dimensions. A smoothly embedded n-hypersphere in an (n+1)-hypersphere separates the (n+1)-hypersphere into two components, each homeomorphic to (n+1)-balls. It can be proved using Morse theory.

See also

Ball, Hypersphere, Morse Theory

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Cite this as:

Weisstein, Eric W. "Mazur's Theorem." From MathWorld--A Wolfram Web Resource.

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