Resumen de On Postnikov pieces of finite dimension
We prove that, if $X$ is a connected CW-complex of finite dimension with only a finite number of nonzero Postnikov invariants, then the homotopy groups $\pi_n(X)$ are rational vector spaces for $n\geq 2$ and they vanish for all n sufficiently large. Moreover, the fundamental group $\pi_1(X)$ is torsion-free and all its abelian subgroups have finite rank. Our argument relies on Miller’s solution of a conjecture due to Sullivan.
