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Thin position for a
connected sum of small knots
Yo’av Rieck and Eric Sedgwick |
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Algebraic & Geometric Topology 2 (2002) 297–309
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arXiv: math.GT/0205125 |
Abstract |
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We show that every thin position for a connected sum of small knots is obtained in an obvious way: place each summand in thin position so that no two summands intersect the same level surface, then connect the lowest minimum of each summand to the highest maximum of the adjacent summand below. |
Keywords
3–manifold, connected sum of knots, thin position
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Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27
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References |
Forward citations |
Publication
Received: 7 January 2002
Accepted: 6 March 2002
Published: 24 April 2002
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Authors |
| Yo’av Rieck | |
| Department of Mathematics Nara Women’s University Kitauoya Nishimachi Nara 630-8506 Japan |
Department of Mathematics University of Arkansas Fayetteville, AR 72701 USA |
| Eric Sedgwick | |
| DePaul University Department of Computer Science 243 S. Wabash Ave. - Suite 401 Chicago, IL 60604 USA |
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