  Following the analogies between 3-dimensional topology and number theory, we
study an id\`elic form of class field theory for 3-manifolds. For a certain set
$\mathcal{K}$ of knots in a 3-manifold $M$, we first present a local theory for
each knot in $\mathcal{K}$, which is analogous to local class field theory, and
then, getteing together over all knots in $\mathcal{K}$, we give an analogue of
id\`elic global class field theory for an integral homology sphere $M$.
