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].


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

Biographic References:

Smale, S.