Abstract
Let L be a link consisting of spheres of dimensions p 1, p 2, and p 3 respectively imbedded in R m such that m − p i > 2 for i = 1, 2, and 3. For such links we define an invariant β ( L) ϵ π p1+ p2+ p3 ( S 2 m−3 ) which is invariant under link homotopy. This invariant is shown to be the stable suspension of a certain link concordance invariant introduced by Haefliger and Steer in 1964. For a certain range of dimensions such links are classified up to link homotopy by the new invariant β( L) and the link homotopy classes of their 2-component sublinks.
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