I'm confused by the following question:
f:X\to Y is a weak homotopy equivalence, that is f_*:\pi_*(X)\to \pi_*(Y) is an isomorphism for any dimensional homotopy groups. However, for the stable homotopy groups, is the homomorphism f_*:\pi_*^s(X)\to \pi_*^s(Y) still an isomorphism?

Any comments are welcome! Many Thanks!