The \(K_ *\)-localizations of the stunted real projective spaces (Q1321794)

In previous papers the author determined the \(KO_ *\)-local type of real projective spaces \(RP^ n\). In this paper, examining the Adams operations on the \(KU_ *\)- and \(KO_ *\)-homologies of the stunted projective spaces \(RP^ n_{m+1} = RP^ n/RP^ m\), he shows that \(\Sigma^ 1RP^ n_{m+1}\) has the same \(K_ *\)-local type of certain elementary cofibers, thus determining the \(K_ *\)-local types of stunted projective spaces. The results are too complicated to state here.