Limit sets at infinity of liftings to the plane of nonself-intersected curves in the torus
by
Alexei Glutsuk
Independent University of Moscow, IAS Princeton

We complete the description of the limit sets from the title started by D.V.Anosov. Namely, consider the real plane together with the pasted unit circle naturally identified with the set of straightforward goings to infinity in the plane. We describe subsets of the infinity circle that can be realized as sets of limit points at infinity of liftings of nonself-intersected curves in the torus (i.e., sets of directions of possible goings to infinity along these liftings).

Date received: February 19, 1998