Mp-small summands increase knot width
نویسنده
چکیده
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=1 Ki a connected sum of mp-small knots and K ′ any non-trivial knot, w(K#K ) > w(K). AMS Classification 57M25; 57M27
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