Let f ξ : M → B U {f_\xi }: M \to BU be a classifying map of the stable complex bundle ξ \xi over the weakly complex manifold M M . If τ \tau is the stable right homotopical inverse of the infinite loop spaces map η : Q B U ( 1 ) → B U \eta :QBU(1) \to BU , we define f ξ ′ = τ ⋅ f ξ f_\xi ’ = \tau \cdot {f_\xi } and we prove that the Chern classes c k ( ξ ) {c_k}(\xi ) are f ξ ′ ∗ ( h k ∗ ( t k ) ) f_\xi ^{\prime \ast }(h_k^{\ast }(t_k)) , where h k {h_k} is given by the stable splitting of Q B U ( 1 ) QBU(1) and t k {t_k} is the Thom class of the bundle γ ( k ) = E Σ k X Σ k γ k {\gamma ^{(k)}} = E{\Sigma _k}{X_{{\Sigma _k}}}{\gamma ^k} . Also, we associate to f ′ f’ an immersion g : N → M g:N \to M and we prove that c k ( ξ ) {c_k}(\xi ) is the dual of the image of the fundamental class of the k k -tuple points manifold of the immersion g , g k ∗ ( [ N k ] ) g,g_k^{\ast }([{N_k}]) .