“…• there exists an S-fibration with the same data M, Σ, F, G, p, q, r as of the fibration W 7 2 → CP 2 such that it is obtained from a fiber-wise action of U (1) on the trivial bundle S 5 × S 3 → S 5 such that it has the same value of the characteristic class κ as the S-fibration W 7 2 → CP 2 .…”