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- W1991191566 abstract "We examine geometric properties of a knot J that are unchanged by taking a (p,q)-cable K of J. Specifically, we relate w(K) to w(J), where w(K) is the width of K in the sense of Gabai. We use this information to demonstrate that thin position is a minimal bridge position of J if and only if the same is true for K, and more generally we show that any thin position of K is an obvious cabling of a thin position of J. We conclude by proving that J is meridionally small (mp-small) if and only if K is meridionally small (mp-small), and if J is mp-small and every non-minimal bridge position of J is stabilized, then the same is true for K." @default.
- W1991191566 created "2016-06-24" @default.
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- W1991191566 date "2010-10-15" @default.
- W1991191566 modified "2023-09-27" @default.
- W1991191566 title "Properties of knots preserved by cabling" @default.
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