Bordism classes of vector bundles over real projective spaces

Bruce F. Torrence
1993 Proceedings of the American Mathematical Society  
A basis is presented for the RP" classes in y\n(BO). This basis is used to prove that every smooth involution (M, T) on a closed manifold bounds if its fixed point set is a disjoint union of odd-dimensional projective spaces of constant dimension.
doi:10.1090/s0002-9939-1993-1136239-6 fatcat:ekyjhwra7nafdb4z64lm4dmjea