Journal article
Compressing thin spheres in the complement of a link
Topology and its applications, Vol.153(15), pp.2987-2999
2006
DOI: 10.1016/j.topol.2006.01.006
Abstract
Let L be a link in S 3 that is in thin position but not in bridge position and let P be a thin level sphere with compressing disk D. We introduce the idea of alternating level spheres for D and show that all such spheres are thin and their widths are monotone decreasing. This allows us to generalize a result of Wu by giving a bound on the number of disjoint irreducible compressing disks P can have in terms of the width of P, including identifying thin spheres with unique compressing disks. We also give conditions under which P must be incompressible on some side or be weakly incompressible. In particular we show that the thin level sphere of second lowest width is weakly incompressible. If P is strongly compressible we describe how a pair of compressing disks must lie relative to the link.
Details
- Title: Subtitle
- Compressing thin spheres in the complement of a link
- Creators
- Maggy Tomova - Department of Mathematics, University of California, Santa Barbara, CA 93106, USA
- Resource Type
- Journal article
- Publication Details
- Topology and its applications, Vol.153(15), pp.2987-2999
- DOI
- 10.1016/j.topol.2006.01.006
- ISSN
- 0166-8641
- eISSN
- 1879-3207
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2006
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985816802771
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