Problem 74

If $f$ is Axiom A, is there an Axiom A $g$, $C^0$ near $f$ with dim$\Omega (g) = d$ and $h(f) = h(g) ?$

Comments

  • rpotrie (2017-06-29 12:07:51 -0700 -0700):

    What is $d$? Is it $0$? In that case, see Shub, M.; Sullivan, D. Homology theory and dynamical systems. Topology 14 (1975), 109–132.

  • Ledrappier (2017-08-01 13:12:20 -0700 -0700):

    d is 0 indeed.