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- Wolfgang_Haken abstract "Wolfgang Haken (born June 21, 1928 in Berlin, Germany) is a mathematician who specializes in topology, in particular 3-manifolds.In 1976 together with colleague Kenneth Appel at the University of Illinois at Urbana-Champaign, Haken solved one of the most famous problems in mathematics, the four-color theorem. They proved that any two-dimensional map, with certain limitations, can be filled in with four colors without any adjacent "countries" sharing the same color.Haken has introduced several important ideas, including Haken manifolds, Kneser–Haken finiteness, and an expansion of the work of Kneser into a theory of normal surfaces. Much of his work has an algorithmic aspect, and he is one of the influential figures in algorithmic topology. One of his key contributions to this field is an algorithm to detect if a knot is unknotted.Haken is the father of six children. His eldest son Armin Haken proved that there exist propositional tautologies that require resolution proofs of exponential size. Lippold Haken, the inventor of the Continuum fingerboard, is also his son. Wolfgang Haken is the cousin of Hermann Haken, a physicist well known for laser theory and Synergetics.Haken delivered an invited address at the 1978 International Congress of Mathematicians in Helsinki.Wolfgang Haken was a recipient of the 1979 Fulkerson Prize of the American Mathematical Society for his solution with Appel of the four-color problem.".
- Wolfgang_Haken birthDate "1928-06-21".
- Wolfgang_Haken birthYear "1928".
- Wolfgang_Haken wikiPageExternalLink wolfgang-haken-wom.
- Wolfgang_Haken wikiPageExternalLink ViewPerson.aspx?Guid=74A131FA-F6E8-4C8F-9C6D-7C8C542826D1&Role=e.
- Wolfgang_Haken wikiPageExternalLink HakenFamily.
- Wolfgang_Haken wikiPageID "311546".
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- Wolfgang_Haken wikiPageRevisionID "669132170".
- Wolfgang_Haken wikiPageWikiLink 3-manifold.
- Wolfgang_Haken wikiPageWikiLink Algorithmic_topology.
- Wolfgang_Haken wikiPageWikiLink American_Mathematical_Society.
- Wolfgang_Haken wikiPageWikiLink Berlin.
- Wolfgang_Haken wikiPageWikiLink Category:1928_births.
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- Wolfgang_Haken wikiPageWikiLink Category:Topologists.
- Wolfgang_Haken wikiPageWikiLink Category:University_of_Illinois_at_Urbana–Champaign_faculty.
- Wolfgang_Haken wikiPageWikiLink Category:University_of_Kiel_alumni.
- Wolfgang_Haken wikiPageWikiLink Computational_topology.
- Wolfgang_Haken wikiPageWikiLink Continuum_(instrument).
- Wolfgang_Haken wikiPageWikiLink Continuum_Fingerboard.
- Wolfgang_Haken wikiPageWikiLink Exponential_growth.
- Wolfgang_Haken wikiPageWikiLink Four-color_theorem.
- Wolfgang_Haken wikiPageWikiLink Four_color_theorem.
- Wolfgang_Haken wikiPageWikiLink Fulkerson_Prize.
- Wolfgang_Haken wikiPageWikiLink Germany.
- Wolfgang_Haken wikiPageWikiLink Haken_manifold.
- Wolfgang_Haken wikiPageWikiLink Hellmuth_Kneser.
- Wolfgang_Haken wikiPageWikiLink Hermann_Haken.
- Wolfgang_Haken wikiPageWikiLink International_Congress_of_Mathematicians.
- Wolfgang_Haken wikiPageWikiLink Kenneth_Appel.
- Wolfgang_Haken wikiPageWikiLink Kneser–Haken_finiteness.
- Wolfgang_Haken wikiPageWikiLink Lippold_Haken.
- Wolfgang_Haken wikiPageWikiLink Mathematician.
- Wolfgang_Haken wikiPageWikiLink Normal_surface.
- Wolfgang_Haken wikiPageWikiLink Propositional_formula.
- Wolfgang_Haken wikiPageWikiLink Resolution_(logic).
- Wolfgang_Haken wikiPageWikiLink Tautology_(logic).
- Wolfgang_Haken wikiPageWikiLink Topology.
- Wolfgang_Haken wikiPageWikiLink University_of_Illinois_at_Urbana-Champaign.
- Wolfgang_Haken wikiPageWikiLink University_of_Illinois_at_Urbana–Champaign.
- Wolfgang_Haken wikiPageWikiLink Unknotting_problem.
- Wolfgang_Haken wikiPageWikiLinkText "Haken".
- Wolfgang_Haken wikiPageWikiLinkText "Haken, Wolfgang".
- Wolfgang_Haken wikiPageWikiLinkText "Wolfgang Haken".
- Wolfgang_Haken dateOfBirth "1928-06-21".
- Wolfgang_Haken hasPhotoCollection Wolfgang_Haken.
- Wolfgang_Haken name "Haken, Wolfgang".
- Wolfgang_Haken shortDescription "German topologist".
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- Wolfgang_Haken wikiPageUsesTemplate Template:Citation.
- Wolfgang_Haken wikiPageUsesTemplate Template:MathGenealogy.
- Wolfgang_Haken wikiPageUsesTemplate Template:Persondata.
- Wolfgang_Haken wikiPageUsesTemplate Template:Reflist.
- Wolfgang_Haken description "German topologist".
- Wolfgang_Haken description "German topologist".
- Wolfgang_Haken subject Category:1928_births.
- Wolfgang_Haken subject Category:Living_people.
- Wolfgang_Haken subject Category:Topologists.
- Wolfgang_Haken subject Category:University_of_Illinois_at_Urbana–Champaign_faculty.
- Wolfgang_Haken subject Category:University_of_Kiel_alumni.
- Wolfgang_Haken hypernym Mathematician.
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- Wolfgang_Haken type Q215627.
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- Wolfgang_Haken comment "Wolfgang Haken (born June 21, 1928 in Berlin, Germany) is a mathematician who specializes in topology, in particular 3-manifolds.In 1976 together with colleague Kenneth Appel at the University of Illinois at Urbana-Champaign, Haken solved one of the most famous problems in mathematics, the four-color theorem.".
- Wolfgang_Haken label "Wolfgang Haken".
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- Wolfgang_Haken sameAs 沃夫冈·哈肯.
- Wolfgang_Haken wasDerivedFrom Wolfgang_Haken?oldid=669132170.
- Wolfgang_Haken givenName "Wolfgang".
- Wolfgang_Haken isPrimaryTopicOf Wolfgang_Haken.
- Wolfgang_Haken name "Haken, Wolfgang".
- Wolfgang_Haken name "Wolfgang Haken".
- Wolfgang_Haken surname "Haken".