Abstract
Publisher Summary This chapter presents the definition of the generalized Whitehead products in an ( n +1)-ad and discusses the first non-vanishing homotopy group of a complete CW-( n –1)-ad in terms of these products. This expression involves n -fold products. Thus, the first non-vanishing group of a tetrad is described by means of triple products, of a 5-ad by quadruple products and so on. The chapter discusses the conditions under which the product homomorphism θ: π m ( A, C ) ⊗ π q – m +1 ( B, C ) → π q ( X , A , B) for a triad is an isomorphism onto, or merely onto, when q takes on a range of values beyond the first for which π q ( X , A , B ) ≠ 0.
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