Concordance structure set of connected sum of projective spaces

In this paper, the concordance structure set of connected sums of complex and quaternionic projective spaces in the real \(n\)-dimensional range with \(8\leq n\leq 16\) is computed. It is demonstrated that the concordance inertia group of a connected sum equals the sum of individual concordance inertia groups. Furthermore, the concordance structure sets of manifolds and their connected sums are compared.