Correction to “Dehn surgery on knots”. (English) Zbl 0645.57006

Culler, M.; Gordon, C. McA.; Luecke, J.; Shalen, P. B.

Ann. Math. (2) 127, No. 3, 663 (1988).

In the paragraph following the statement of Corollary 2.7.1 in the authors’ paper [ibid. 125, 237-300 (1987; Zbl 0633.57006)], in which we show that corollary 2.7.1 implies the Cyclic Surgery Theorem, we omitted the case when M’ is Seifert-fibered. The proof that M’ cannot be Seifert- fibered is essentially the same as the proof that M’ cannot be cabled.

MSC:

57M25

Knots and links in the \(3\)-sphere (MSC2010)

Keywords:

cyclic surgery theorem; Dehn surgery; knots; cable knots

Citations:

Zbl 0633.57006