  We study continuous embeddings of the long line L into L^n (n>1) up to
ambient isotopy of L^n. We define the direction of an embedding and show that
it is (almost) a complete invariant in the case n=2 for continuous embeddings,
and in the case n>3 for differentiable ones. Finally, we prove that the
classification of smooth embeddings L \to L^3 is equivalent to the
classification of classical oriented knots.
