Cut-disks for Level Spheres in Link and Tangle Complements
نویسنده
چکیده
In [6] Wu shows that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that L ⊂ S3 is prime, then the thin sphere of lowest width also does not have any vertical cut-disks. We also prove the result for a specific kind of tangles in
منابع مشابه
C-incompressible Planar Surfaces in Link and Tangle Complements
In [6] Wu shows that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that L ⊂ S3 is prime, then the thin sphere of lowest width also does not have any cut-disks. We also prove the result for a specific kind of tangles in S2× [−1, 1].
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