The work of Stephen Smale in differential topology.

*(English)*Zbl 0804.57001
Hirsch, M. W. (ed.) et al., From topology to computation: Proceedings of the Smalefest. Papers presented at the conference “From topology to computation: Unity and diversity in the mathematical sciences” held at the University of California at Berkeley, USA, August 5-9, 1990 in honor of Stephen Smale’s 60th birthday. New York: Springer-Verlag. 83-106 (1993).

This paper is a very detailed description of Stephen Smale’s work in differential topology. The topics discussed are immersions, diffeomorphisms of spheres, the Poincaré conjecture, handlebodies, and the \(h\)-cobordism theorem.

For the entire collection see [Zbl 0779.00016].

For the entire collection see [Zbl 0779.00016].

Reviewer: R.E.Stong (Charlottesville)

##### MSC:

57-03 | History of manifolds and cell complexes |

01A65 | Development of contemporary mathematics |

57R65 | Surgery and handlebodies |

57R42 | Immersions in differential topology |

57R50 | Differential topological aspects of diffeomorphisms |

57R60 | Homotopy spheres, Poincaré conjecture |

##### Keywords:

\(h\)-cobordism theorem; immersions; diffeomorphisms of spheres; Poincaré conjecture; handlebodies##### Biographic References:

Smale, S.
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\textit{M. W. Hirsch}, in: From topology to computation: Proceedings of the Smalefest. Papers presented at the conference ''From topology to computation: Unity and diversity in the mathematical sciences'' held at the University of California at Berkeley, USA, August 5-9, 1990 in honor of Stephen Smale's 60th birthday. New York: Springer-Verlag. 83--106 (1993; Zbl 0804.57001)

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