nLab Stephen Smale

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Selected writings

On the homotopy type of the diffeomorphism group of the 2-sphere:

• Stephen Smale: Diffeomorphisms of the 2-sphere, Proc. Amer. Math. Soc. 10 (1959) 621–626 [doi:10.1090/S0002-9939-1959-0112149-8, doi:10.2307/2033664, jstor:2033664]

On Morse theory over infinite-dimensional Hilbert manifolds:

• Richard S. Palais, Stephen Smale: A generalized Morse theory, Bull. Amer. Math. Soc. 70 1 (1964) 165–172 [doi:10.1090/S0002-9904-1964-11062-4, euclid:bams/1183525794]

Related entries

• h-cobordism theorem

• exotic smooth structure

• sphere eversion

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