Mp-small summands increase knot width

Details Mp-small summands increase knot width Mp-small summands increase knot width

2004-06-03

arxiv.org/abs/math/0406072v2

Algebr. Geom. Topol. 4 (2004) 1041-1044

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-44.abs.html

Scientific paper

Scharlemann and Schultens have shown that for any pair of knots K_1 and K_2, w(K_1 # K_2) is greater than or equal to max{w(K_1),w(K_2)}. Scharlemann and Thompson have given a scheme for possible examples where equality holds. Using results of Scharlemann-Schultens, Rieck-Sedgwick and Thompson, it is shown that for K the connected sum of mp-small knots and K' any non-trivial knot, w(K # K')>w(K).

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