Adjective
Haken (not comparable)
(topology, of a 3-manifold) Irreducible, compact, and containing a non-∂-parallel incompressible surface (besides a sphere or disk).
By utilizing Haken 's normal surface techniques, he classified the incompressible surfaces in the knot complement. Source: Internet
Appel and Haken concluded that no smallest counterexamples exists because any must contain, yet do not contain, one of these 1,936 maps. Source: Internet
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. Source: Internet
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. Source: Internet
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. Source: Internet
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. Source: Internet