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!