Problem 23

Canonical $C^0$ perturbation of Anosov diffeo to 0-dimensional $\Omega _i$’s with the same entropy

Comments

  • rpotrie (2017-06-23 13:59:56 -0700 -0700):

    Is the following an answer to this? M.Shub and D.Sulivan, Homology and dynamical systems, Topology 14 (1975), 109-132. (see also Chapter 4 in J. Franks, Homology and dynamical systems, CBMS Regional Conference Series in Mathematics Volume: 49; 1982; 120 pp.)

  • shub (2017-07-10 10:44:31 -0700 -0700):

    Maller,M and M.Shub, The Integral Homology of Smale Diffeomorphisms Topology, Vol. 24 (1985) pp. 153-164 may be relevant. The paper considers when Axiom A no cycles diffeorphisms with zero dimensional omega may be isotoped to omega conjugate fitted examples.