Abstract
where h* denotes the induced homomorphism. Note that #* is an isomorphism if A is a covering map and p, a ^ 2 . Hence if two topological groups have a common universal covering group then their higher homotopy groups are related by an isomorphism which is compatible with the Samelson product. Let <nrq(G), where g ^ l , denote the subset of w2q(G) consisting of elements ((3, fi), where fiCz7Tq(G). We assert the following
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