# Smale’s $h$-cobordism theorem

Let $(N,M,M^{\prime})$ be an $h$-cobordism (http://planetmath.org/HCobordism) of smooth manifolds with $N$ (and hence $M$ and $M^{\prime}$) simply connected, and $\dim(M)\geq 5$. Then $N\cong M\times[0,1]$ and $M$ and $M^{\prime}$ are diffeomorphic.

Title Smale’s $h$-cobordism theorem SmalesHcobordismTheorem 2013-03-22 13:57:22 2013-03-22 13:57:22 bwebste (988) bwebste (988) 5 bwebste (988) Theorem msc 57N70