• Thumbnail for William Thurston
    William Paul Thurston (October 30, 1946 – August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and...
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  • William Thurston (1982), and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture. Thurston's hyperbolization...
    31 KB (4,049 words) - 01:04, 26 March 2024
  • Thumbnail for Thurston Moore
    Thurston Joseph Moore (born July 25, 1958) is an American guitarist, singer and songwriter best known as a member of the rock band Sonic Youth. He has...
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  • William Thurston's elliptization conjecture states that a closed 3-manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of...
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  • after early landowner William Thurston. The Town of Thurston is the east-central part of the county, northwest of Corning. Thurston was first settled circa...
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  • Thumbnail for Allen Hatcher
    boundary slopes. William Floyd and Hatcher classified all the incompressible surfaces in punctured-torus bundles over the circle. William Thurston and Hatcher...
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  • In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the...
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  • Thumbnail for Hyperbolic link
    hyperbolic link with one component. As a consequence of the work of William Thurston, it is known that every knot is precisely one of the following: hyperbolic...
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  • (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing types of symmetry groups...
    19 KB (1,194 words) - 20:05, 28 January 2024
  • Poincaré conjecture (and the more powerful geometrization conjecture of William Thurston). Over the next several years, several mathematicians studied his papers...
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  • Thumbnail for 3-manifold
    William Thurston (1982), and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture. Thurston's hyperbolization...
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  • Cannon and William Thurston "Group-invariant Peano curves" (eventually published in 2007) about fibered hyperbolic 3-manifolds. Cannon–Thurston maps provide...
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  • Thumbnail for Lorrin A. Thurston
    Lorrin Andrews Thurston (July 31, 1858 – May 11, 1931) was an American-Hawaiian lawyer, politician, and businessman. Thurston played a prominent role in...
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  • Thumbnail for List of geometers
    flow, Poincaré conjecture Mikhail Gromov (1943–) Rudy Rucker (1946–) William Thurston (1946–2012) Shing-Tung Yau (1949–) Michael Freedman (1951–) Egon Schulte...
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  • the number of right cusps. It is named after William Thurston and Daniel Bennequin. The maximum Thurston–Bennequin number over all Legendrian representatives...
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  • Thumbnail for Grigori Perelman
    in the analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which had been a famous open...
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  • definition relies on the notion of a measured foliation introduced by William Thurston, who also coined the term "pseudo-Anosov diffeomorphism" when he proved...
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  • Thumbnail for Howard Thurston
    Howard Thurston was born July 20, 1869, in Columbus, Ohio. He was the middle son of William and Margaret Thurston. His father William Henry Thurston was...
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  • winners were awarded for works in topology. James Harris Simons and William Thurston were the first ones to receive it for works in geometry (for some distinctions...
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  • method of changing one hyperbolic manifold into another, introduced by William Thurston (1986). Given a simple closed geodesic on an oriented hyperbolic surface...
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  • mathematics, the Thurston norm is a function on the second homology group of an oriented 3-manifold introduced by William Thurston, which measures in...
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  • It is named after Mikhail Gromov, who introduced it in 1982. With William Thurston, he proved that the simplicial volume of a finite volume hyperbolic...
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  • Thumbnail for Figure-eight knot (mathematics)
    so) in the theory of 3-manifolds. Sometime in the mid-to-late 1970s, William Thurston showed that the figure-eight was hyperbolic, by decomposing its complement...
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  • Thumbnail for Circle packing theorem
    The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose...
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  • Thumbnail for Thurston Island
    Thurston Island (72°6′S 99°0′W / 72.100°S 99.000°W / -72.100; -99.000 (Thurston Island)) is a largely ice-covered, glacially dissected island, 135...
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  • positive curvature must be closed and have finite fundamental group. William Thurston's elliptization conjecture, proven by Grigori Perelman using Richard...
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  • Thumbnail for Knot theory
    series of breakthroughs transformed the subject. In the late 1970s, William Thurston introduced hyperbolic geometry into the study of knots with the hyperbolization...
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  • isomorphism on homology. The theorem is attributed to Daniel Kan and William Thurston who published their result in 1976. Let X {\displaystyle X} be a path-connected...
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  • topological conjugacy. The theory had been developed by John Milnor and William Thurston in two widely circulated and influential Princeton preprints from 1977...
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  • Thumbnail for Jim Simons
    from the original on February 6, 2009. Retrieved January 7, 2010. Broad, William J. (July 7, 2014). "A Billionaire Mathematician's Life of Ferocious Curiosity"...
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