LAUSR

The topological $$K^{*}$$K∗ ring is one of the important tools used for understanding the topology of a manifold. We settle a problem of computing the $$K^{*}$$K∗ ring of complex projective Stiefel manifold using combinatorics. We calculate $$K^{*}$$K∗ ring of the right generalized projective Stiefel manifold, denoted by $$P_{\ell }W_{n,k}$$PℓWn,k , which gives us description of complex $$K^{*}$$K∗ ring of complex projective Stiefel manifold $$PW_{n,k}$$PWn,k, which is a particular case of $$P_{\ell }W_{n,k}$$PℓWn,k.