Only rational homology spheres admit $\Omega (f)$ to be union of DE attractors

Fan Ding, Jianzhong Pan, Shicheng Wang +1

If there exists a diffeomorphism $f$ on a closed, orientable $n$-manifold $M$ such that the non-wandering set $\Omega (f)$ consists of finitely many orientable $(\pm )$ attractors derived…