handle decomposition
Let Mn be a smooth, connected, closed n dimensional manifold.
A handle is Hnλ=Bλ×Bn-λ where Bλ is a λ-ball.
Any such manifold M is diffeomorphic to the union of finitely many such handles where each handle Hnλ is in a one-to-one correspondence with the critical points of λ of a Morse function on M.
Title | handle decomposition |
---|---|
Canonical name | HandleDecomposition |
Date of creation | 2013-03-22 15:21:28 |
Last modified on | 2013-03-22 15:21:28 |
Owner | RobKing (9598) |
Last modified by | RobKing (9598) |
Numerical id | 8 |
Author | RobKing (9598) |
Entry type | Definition |
Classification | msc 57R19 |