• Thumbnail for Wolfgang Haken
    Wolfgang Haken (German: [ˈvɔlfɡaŋ ˈhaːkn̩]; June 21, 1928 – October 2, 2022) was a German American mathematician who specialized in topology, in particular...
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  • virtually Haken. This conjecture was proven by Ian Agol. Haken manifolds were introduced by Wolfgang Haken (1961). Haken (1962) proved that Haken manifolds...
    8 KB (990 words) - 09:49, 6 July 2024
  • contract in Japan Haken manifold, a type of 3-manifold named after Wolfgang Haken Eduard Haken (1910–1996), Czech operatic bass Hermann Haken (1927-2024),...
    571 bytes (113 words) - 13:41, 23 August 2024
  • Thumbnail for Hermann Haken
    is a cousin of the mathematician Wolfgang Haken, who proved the Four color theorem. He was a nephew of Werner Haken, a doctoral student of Max Planck...
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  • Thumbnail for Four color theorem
    Kenneth Appel and Wolfgang Haken. This came after many false proofs and mistaken counterexamples in the preceding decades. The Appel–Haken proof proceeds...
    48 KB (6,174 words) - 05:29, 18 August 2024
  • Thumbnail for Discrete mathematics
    first stated in 1852, but not proved until 1976 (by Kenneth Appel and Wolfgang Haken, using substantial computer assistance). In logic, the second problem...
    26 KB (2,768 words) - 18:44, 17 August 2024
  • Thumbnail for Kenneth Appel
    19, 2013) was an American mathematician who in 1976, with colleague Wolfgang Haken at the University of Illinois at Urbana–Champaign, solved one of the...
    10 KB (1,102 words) - 23:37, 24 June 2024
  • Thumbnail for 3-manifold
    infinite fundamental group is virtually Haken. Haken manifolds were introduced by Wolfgang Haken. Haken proved that Haken manifolds have a hierarchy, where...
    45 KB (5,836 words) - 09:37, 24 April 2024
  • Thumbnail for Conjecture
    1976 by Kenneth Appel and Wolfgang Haken. It was the first major theorem to be proved using a computer. Appel and Haken's approach started by showing...
    25 KB (3,042 words) - 23:02, 27 August 2024
  • Thumbnail for Heinrich Heesch
    ingredient of the eventual computer-aided proof by Kenneth Appel and Wolfgang Haken. Between 1967 and 1971, Heesch made several visits to the United States...
    3 KB (291 words) - 02:47, 25 July 2024