Tangle Decompositions of Doubled Knots

Hiroshi MATSUDA

doi:10.3836/tjm/1270041999

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Home > Journals > Tokyo J. Math. > Volume 21 > Issue 1 > Article

June 1998 Tangle Decompositions of Doubled Knots

Hiroshi MATSUDA

Tokyo J. Math. 21(1): 247-253 (June 1998). DOI: 10.3836/tjm/1270041999

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Abstract

We show that a decomposing 2-sphere which gives an essential tangle decomposition of a doubled knot gives also an essential tangle decomposition of its companion knot.