Abstract

Publisher Summary This chapter discusses a group of the linkage in Euclidean space, which is represented by the diagram opposite. The group of Whitehead's linkage is not a free group with two free generators. The space is not even homeomorphic with euclidean space, an extension of Whitehead's purely combinatorial result. The group of the residual space of a certain combinatorial circuit in the manifold is not generated by any finite subset of its elements, as it would be if it were a polygonal knot in Euclidean space.

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