{title2=$\pi_1(E_K)$}
{wiki}

The knot group is the <fundamental group> of the <knot exterior>.


Knot group

{title2=$\mu$}
{wiki=Meridian_(algebraic_curve)#In_knot_theory}

A meridian is an oriented simple closed curve on the boundary of a <knot exterior> that bounds a disk in the removed tubular neighborhood and has <linking number> one with the knot.


Meridian of a knot

{title2=$E_K$}
{wiki=Knot_complement}

The knot exterior is $E_K=S^3\setminus\operatorname{int}\nu K$, where $\nu K$ is an open tubular neighborhood of the knot. It is homotopy equivalent to the <knot complement> $S^3\setminus K$.

= Knot complement
{synonym}


Codex @codex  0

 Incoming links: Knot exterior