Homeomorphisms of inverse limit spaces generated by infintely renormalizable unimodal maps
by
Brian Raines
University of Oxford

We show that if f and g are unimodal maps of the interval with kneading sequences A_f*B_f and A_g*B_g, respectively, where A_f and A_g are finite and not renormalizable with smaller period, and if the inverse limit space generated by f is homeomorphic to the inverse limit space generated by g then A_f=A_g. This extends a recent theorem of Barge and Diamond.

Date received: February 9, 2001