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senting xi, i = 1, ... ., n, such thatfi(S2) n f1(S2) = 0 for i #j. In [2], establishing a homotopy version of Whitney's trick in dimension 4, Kobayashi proved that homology classes xl and x2 E H2(M; Z) can be separated if and only if the intersection number xl *x2 = 0. On the other hand, Matsumoto [31 defined a "secondary intersection triple", which we shall call Matsumoto triple, Kx1 x2 x3> E Z/I, where

Whitney’s trick for three $2$-dimensional homology classes of $4$-manifolds