Haken
Adjective
Meaning
Haken (not comparable)
(topology, of a 3-manifold) Irreducible, compact, and containing a non-∂-parallel incompressible surface (besides a sphere or disk).
Anagrams
Examples
By utilizing Haken 's normal surface techniques, he classified the incompressible surfaces in the knot complement.
Appel and Haken concluded that no smallest counterexamples exists because any must contain, yet do not contain, one of these 1,936 maps.
In 1986, Appel and Haken were asked by the editor of Mathematical Intelligencer to write an article addressing the rumors of flaws in their proof.
Jackson County Sheriff Shawn Haken and Jackson County Attorney Sherry Haley said the student arrested Tuesday will remain in “secure detention” until a conditions-of-release hearing can take place in juvenile court.
Together with his analysis of deformations of hyperbolic structures, he concluded that all but 10 Dehn surgeries on the figure-eight knot resulted in irreducible, non- Haken non- Seifert-fibered 3-manifolds.
Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.