Hirsch, Morris W. 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]. Reviewer: R.E.Stong (Charlottesville) Cited in 2 Documents 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. PDFBibTeX XMLCite \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)