  We consider the problem of defining the structure of a smooth manifold on the
various spaces of piecewise-smooth loops in a smooth finite dimensional
manifold. We succeed for a particular type of piecewise-smooth loops.
  We also examine the action of the diffeomorphism group of the circle. It is
not a useful action on the manifold that we define. We consider how one might
fix this problem and conclude that it can only be done by completing to the
space of loops of bounded variation.
