arXiv Analytics

Sign in

arXiv:math/0205125 [math.GT]AbstractReferencesReviewsResources

Thin position for a connected sum of small knots

Yo'av Rieck, Eric Sedgwick

Published 2002-05-12Version 1

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-14.abs.html
Journal: Algebr. Geom. Topol. 2 (2002) 297-309
Categories: math.GT
Subjects: 57M25, 57M27
Related articles: Most relevant | Search more
arXiv:1010.3220 [math.GT] (Published 2010-10-15)
Properties of knots preserved by cabling
arXiv:math/0609674 [math.GT] (Published 2006-09-24)
Thin position for knots in a 3-manifold
arXiv:0903.5543 [math.GT] (Published 2009-03-31)
Thin position for knots and 3-manifolds: a unified approach

Links

Toolbox