• Thumbnail for Stephen Smale
    Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He...
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  • businessman Sir John Jackson Smale, British lawyer and Chief Justice of Hong Kong Stephen Smale, American mathematician Holly Smale, British author This page...
    352 bytes (87 words) - 21:46, 24 October 2022
  • Thumbnail for Horseshoe map
    example in the study of dynamical systems. The map was introduced by Stephen Smale while studying the behavior of the orbits of the van der Pol oscillator...
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  • theory, the Blum–Shub–Smale machine, or BSS machine, is a model of computation introduced by Lenore Blum, Michael Shub and Stephen Smale, intended to describe...
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  • The Palais–Smale compactness condition, named after Richard Palais and Stephen Smale, is a hypothesis for some theorems of the calculus of variations...
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  • Thumbnail for Foundations of Computational Mathematics
    Summer Seminar in Park City, Utah, which was organized principally by Stephen Smale. That meeting hosted a number of sub-conferences on the frontier of...
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  • piecewise linear, or topological manifolds. The theorem was first proved by Stephen Smale for which he received the Fields Medal and is a fundamental result in...
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  • are named after Marston Morse, the creator of the Morse theory, and Stephen Smale, who emphasized their importance for smooth dynamics and algebraic topology...
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  • The Smale conjecture, named after Stephen Smale, is the statement that the diffeomorphism group of the 3-sphere has the homotopy-type of its isometry...
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  • understood. A prominent example is the Smale horseshoe map. The term "axiom A" originates with Stephen Smale. The importance of such systems is demonstrated...
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  • Thumbnail for Sphere eversion
    existence proof for crease-free sphere eversion was first created by Stephen Smale (1957). It is difficult to visualize a particular example of such a...
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  • Thumbnail for César Camacho
    University of California, Berkeley in 1971 under the supervision of Stephen Smale. He is a member of the Brazilian Academy of Sciences and a recipient...
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  • Thumbnail for Raoul Bott
    of the Royal Society of London. Bott had 35 PhD students, including Stephen Smale, Lawrence Conlon, Daniel Quillen, Peter Landweber, Robert MacPherson...
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  • Grothendieck, Hans Grauert, Nicolaas Kuiper, Raoul Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, Kunihiko Kodaira, Donald Spencer,...
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  • Thumbnail for Morris Hirsch
    University of Chicago in 1958, under supervision of Edwin Spanier and Stephen Smale. His thesis was entitled Immersions of Manifolds. In 2012, he became...
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  • Thumbnail for Emergence
    Science to Religion Oxford: Oxford University Press. Felipe Cucker and Stephen Smale (2007), The Japanese Journal of Mathematics, The Mathematics of Emergence...
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  • Thumbnail for Dynamical system
    had repercussions for dynamics. Stephen Smale made significant advances as well. His first contribution was the Smale horseshoe that jumpstarted significant...
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  • Thumbnail for Jacob Palis
    of Stephen Smale at the University of California, Berkeley, and in 1968 his PhD, with the thesis On Morse-Smale Diffeomorphisms, again with Smale as advisor...
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  • Thumbnail for Mikhael Gromov (mathematician)
    Morris Hirsch and Stephen Smale, Gromov introduced the h-principle in various formulations. Modeled upon the special case of the Hirsch–Smale theory, he introduced...
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  • Thumbnail for Fields Medal
    original (PDF) on 20 October 2016. Retrieved 31 March 2017. "Prof. Stephen SMALE (史梅爾)". City University of Hong Kong. 5 April 2012. Archived from the...
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  • homeomorphic to the n-sphere by the generalized Poincaré conjecture, proved by Stephen Smale in dimensions bigger than 4, Michael Freedman in dimension 4, and Grigori...
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  • Thumbnail for Algebraic topology
    Popescu Mikhail Postnikov Daniel Quillen Jean-Pierre Serre Isadore Singer Stephen Smale Edwin Spanier Norman Steenrod Dennis Sullivan René Thom Hiroshi Toda...
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  • n-dimensional homotopy sphere is homeomorphic to the n-sphere; it was solved by Stephen Smale in dimensions five and higher, by Michael Freedman in dimension 4, and...
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  • Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list...
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  • A version for infinite-dimensional Banach manifolds was proven by Stephen Smale. The statement is quite powerful, and the proof involves analysis. In...
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  • Thumbnail for Solenoid (mathematics)
    the sequence {ni}. Here is a variant of this construction isolated by Stephen Smale as an example of an expanding attractor in the theory of smooth dynamical...
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  • Atiyah–Hitchin–Singer theorem, Ray–Singer torsion and Kadison–Singer problem Stephen Smale (BS 1952, MS 1953, Ph.D. 1957), Fields Medal winner; winner of the 2007...
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  • the Moon and beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem...
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  • Thumbnail for Siavash Shahshahani
    February 2009. Shahshahani completed his PhD under the supervision of Stephen Smale at the University of California at Berkeley in 1969. He has since devoted...
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  • Thumbnail for Grigori Perelman
    into a point, then it must be topologically equivalent to a 3-sphere. Stephen Smale proved a high-dimensional analogue of Poincaré's conjecture in 1961...
    65 KB (6,326 words) - 13:44, 17 December 2024