The Whitehead link, the Borromean rings and the knot 946 are universal

• Autores: Hugh Mike Hilden, María Teresa Lozano Imízcoz, José María Montesinos Amilibia
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 34, Fasc. 1, 1983, págs. 19-28
• Idioma: inglés
• Títulos paralelos:
  • El enlace de Whitehead, los anillos de Borromeo y el nudo 946 son universales
• Enlaces
  • Texto completo
• Resumen

  • A link L in S3 is universal if every closed, orientable 3-manifold is a covering of S3 branched over L. Thurston [1] proved that universal links exist and he asked if there is a universal knot, and also if the Whitehead link and the Figure-eight knot are universal. In [2], [3] we answered the first question by constructing a universal knot. The purpose of this paper is to prove that the Whitehead link and the Borromean rings, among others, are universal. The question about the Figure-eight knot remains open, but we show that the ribbon knot 946 is universal.