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

# Mazur's Theorem

## See also

Ball, Hypersphere, Morse Theory## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Mazur's Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/MazursTheorem.html