# 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 $dim(M)\ge 5$. Then $N\cong M\times [0,1]$ and $M$ and ${M}^{\prime}$ are diffeomorphic.

Title | Smale’s $h$-cobordism theorem |
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Canonical name | SmalesHcobordismTheorem |

Date of creation | 2013-03-22 13:57:22 |

Last modified on | 2013-03-22 13:57:22 |

Owner | bwebste (988) |

Last modified by | bwebste (988) |

Numerical id | 5 |

Author | bwebste (988) |

Entry type | Theorem |

Classification | msc 57N70 |