Width of a satellite knot and its companion

Abstract

In the paper we prove the conjecture by Alexander Zupan that $w(K)⩾n^{2}w(J)$ where w denote the width and $K$ and $J$ are satellite knot and its companion with winding number $n$. Also we proved that for satellite knot with braid pattern, the equality holds.

References in corpus (1)

• Width is not additive

Cited by in corpus (1)

• Trunk of Satellite and Companion Knots