# Problem 74

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

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### What is $d$? Is it $0$? In

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

d is 0 indeed.

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