Uniqueness of Massey Products on the Stable Homotopy of Spheres
Canadian journal of mathematics, Tome 32 (1980) no. 3, pp. 576-589

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The product on the stable homotopy ring of spheres π*s can be defined by composing, smashing or joining maps. Each of these three points of view is used in Section 2 to define Massey products on π*s . In fact we define composition and smash Massey products (x1, ... , xt)where X1, ... ,xt-1 ∈ π*s , xt ∈ π*(E) and E is a spectrum. In Theorem 3.2, we prove that these three types of Massey products are equal. Consequently, a theorem which is easy to prove for one of these Massey products is also valid for the other two. For example, [3, Theorem 8.1] which relates algebraic Massey products in the Adams spectral sequence to Massey smash products in π*s is now also valid for Massey composition products in π*s
Kochman, Stanley O. Uniqueness of Massey Products on the Stable Homotopy of Spheres. Canadian journal of mathematics, Tome 32 (1980) no. 3, pp. 576-589. doi: 10.4153/CJM-1980-044-9
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