Abstract
This chapter discusses doubled knots and describes certain linkages in Euclidean space, the residual spaces of which are topologically equivalent. It appears that every simply doubled knot belongs to the class of knots. Thus, every one of a certain infinite subclass of Seifert's knots is shown to be knotted. Except in the case of an unknotted circuit, simply doubled, every circuit fp(t), obtained by doubling an ordinary circuit k, is knotted. Moreover, fp(t) is an ordinary knot and its group contains a subgroup that is isomorphic to the group of k. If k is an ordinary knotted circuit, the subgroup of its group generated by A and b is a free Abelian group, freely generated by A and b.
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