Surgery

spherical surgery, on a manifold of type $(\lambda ,n-\lambda )$

A transition from one $(n-1)$-dimensional manifold $M_1$ to another manifold $M_2$, consisting in deleting a sphere of dimension $\lambda -1$ imbedded in $M_1$ and replacing it by an imbedded sphere of dimension $n-\lambda -1$. See Handle theory for details.

Comments[edit]

Cf. also Morse surgery.