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2002 Thin position for a connected sum of small knots
Yo’av Rieck, Eric Sedgwick
Algebr. Geom. Topol. 2(1): 297-309 (2002). DOI: 10.2140/agt.2002.2.297

Abstract

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.

Citation

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Yo’av Rieck. Eric Sedgwick. "Thin position for a connected sum of small knots." Algebr. Geom. Topol. 2 (1) 297 - 309, 2002. https://doi.org/10.2140/agt.2002.2.297

Information

Received: 7 January 2002; Accepted: 6 March 2002; Published: 2002
First available in Project Euclid: 21 December 2017

zbMATH: 0991.57004
MathSciNet: MR1917054
Digital Object Identifier: 10.2140/agt.2002.2.297

Subjects:
Primary: 57M25
Secondary: 57M27

Rights: Copyright © 2002 Mathematical Sciences Publishers

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