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Mazur's Theorem

The generalization of the Schönflies Theorem to $n$-D. 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




© 1996-9 Eric W. Weisstein
1999-05-26