Title

Deforming twist-spun knots

Document Type

Article

Publication Date

1-1-1979

Abstract

In [15] Zeeman introduced the process of twist-spinning an n-knot to obtain an (n + l)-knot, and proved die remarkable theorem that a twist-spun knot is fibred. In [2] Fox described another deformation which can be applied during the spinning process, and which he called rolling. We show that, provided one combines the rolling with a twist, the resulting knot is again fibred. In fact, this result holds for a larger class of deformations, defined below. © 1979 American Mathematical Society.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

311

Last Page

331

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