, Volume 16, Issue 1, pp 27-35

On Borromean links

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Abstract

n-Borromean links are nontrivial links in whichn rings,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 sublink.