# Problem 89

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For Anosov flow $\varphi_t$ on $M$, try to approximate curves in $M$ by pseudo-orbits and compute $\pi_1(M)$ . . . as in Morse theory.

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maybe he is suggesting a strategy for getting information on the fundamental group of $M$ by approximations to curves in the non-wandering set by pseudo-orbits of the dynamical system.