An oriented link is invertible if it is equivalent by an orientation-preserving homeomorphism of the 3-sphere to the link obtained by reversing the orientation of every component. For a knot, invertibility is equivalence to the same knot with its orientation reversed. Some links are noninvertible even when each component is an invertible knot.
Invertible Link
See also
Invertible Knot, Knot, LinkExplore with Wolfram|Alpha
References
Whitten, W. "A Pair of Non-Invertible Links." Duke Math. J. 36, 695-698, 1969.Cite this as:
Weisstein, Eric W. "Invertible Link." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/InvertibleLink.html