RT Journal Article
T1 On knots that are universal
A1 Montesinos Amilibia, José María
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
AB The authors construct a cover S3→S3 branched over the "figure eight" knot with preimage the "roman link" and a cover S3→S3 branched over the roman link with preimage containing the Borromean rings L. Since L is universal (i.e. every closed, orientable 3-manifold can be represented as a covering of S3 branched over L) it follows that the "figure eight'' knot is universal, thereby answering a question of Thurston in the affirmative. More generally, it is shown that every rational knot or link which is not toroidal is universal
PB Elsevier
SN 0040-9383
YR 1985
FD 1985
LK https://hdl.handle.net/20.500.14352/64696
UL https://hdl.handle.net/20.500.14352/64696
LA eng
NO Comisión Asesora de Investigación Científica y Técnica.
DS Docta Complutense
RD 20 abr 2025