Abstract

1. Statement of results. The purpose of this note is to survey the structure of the cohomology ring of a simply connected topological space X having only nontrivial cohomology groups Hin(X, Z) zZ, for i=O, 1, 2, * , k. For such a space X, there exist always a cell complex K =Sn Uee2nU ... *Uekn and a continuous mapping f of K into X such that f induces a ring isomorphism f*: H*(X, Zp) ;H*(K, Z4). So we shall devote to consider the case X = K, and in particular X = K =Sn Ue2nUe . We consider that all cells of the complex K = SnUe2nUe3n have orientations (generators)

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