RT Journal Article
T1 The Whitehead link, the Borromean rings and the knot 946 are universal.
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB W. Thurston proved the existence of universal links L⊂S3 which are defined by the property that every closed orientable 3-manifold is a branched covering over L⊂S3. The authors answered earlier [Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 3, 449–450;] Thurston's question of whether there are universal knots in the affirmative. In the paper under review, they start from the fact that every closed orientable 3-manifold is an irregular 3-fold covering over a negative closed braid, and proceed by changing the braid by certain moves which do not alter the covering manifold. Thus they arrive at the conclusion that the Whitehead link, the Borromean rings and the knot 946 are universal. Whether the figure-eight knot is universal remains an open question.
PB Springer
SN 0010-0757
YR 1983
FD 1983
LK https://hdl.handle.net/20.500.14352/64865
UL https://hdl.handle.net/20.500.14352/64865
LA eng
NO Comisión Asesora de Investigación científica y técnica
DS Docta Complutense
RD 10 abr 2025