Geodesic
Mp-small summands increase knot width
Hendricks, Jacob1
1Department of Mathematics, University of Arkansas, Fayetteville AR 72701, USA
Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 1041-1044
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Scharlemann and Schultens have shown that for any pair of knots K1 and K2, w(K1#K2) ≥ max{w(K1),w(K2)}. 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 = #i=1nKi a connected sum of mp-small knots and K′ any non-trivial knot, w(K#K′) > w(K).

DOI : 10.2140/agt.2004.4.1041
Keywords: thin position, knot width

Hendricks, Jacob  1

1 Department of Mathematics, University of Arkansas, Fayetteville AR 72701, USA 
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Hendricks, Jacob. Mp-small summands increase knot width. Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 1041-1044. doi: 10.2140/agt.2004.4.1041

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