Abstract

One of the really significant advances in stable homotopy theory has been the Adams spectral sequence (see (1) for a general discussion). To date there has been no useful general way to obtain differentials in this spectral sequence. There is a general feeling that these differentials come about because of some geometric fact which forces a difference between the ring structure imposed on π*(S0), the stable homotopy ring, by the spectral sequence and its own natural one.

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