a1 Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717, USA
A procedure is developed for constructing C1 diffeomorphisms of the two sphere having inverse limits of certain interval maps as attractors. The method is carried out for a particular interval map yielding a diffeomorphism with a transitive non-hyperbolic attractor.
(Received July 15 1986)
(Revised July 10 1987)