Hausdorff dimension for piecewise monotonic maps
High dimension diffeomorphisms exhibiting infinitely many strange attractors
Homeomorphisms of inverse limit spaces of one-dimensional maps
We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.
Homotopical dynamics II : Hopf invariants, smoothings and the Morse complex