Lusternik-Schnirel′mann category of ribbon knot complement

Matumoto, Takao

doi:10.1090/S0002-9939-1992-1070524-0

Lusternik-Schnirel′mann category of ribbon knot complement
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Proc. Amer. Math. Soc. 114 (1992), 873-876 Request permission

Abstract:

We showed in [8] that a locally flat knot is topologically unknotted if and only if the Lusternik-Schnirelmann category of the complement is one. In this paper we will show that the complement of a ribbon knot is of category two.

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