On Borromean links

摘要

n-Borromean links are nontrivial links in whichnrings,n≥ 3, are combined in such a way that any two component rings form a trivial link. The symmetry of links withn= 3 is discussed, and it is shown that such links form a variety of series whose members are different isotopy types. Examples are adduced of 3-Borromean links that are topologically chiral: Novel constructions are described ofn-Borromean links with and without at least one nontrivial sublin