Download Stable Homotopy Theory by J. F. Adams, A. T. Vasquez PDF

Ker @ = H*(M o). is exact we have a ma~ We can find KI, an Eilenberg- 8,. MacLane object such that such that H*(~) f "i = d. H (KI) = C I As above, if we form = Z I = Ker dlC I . $ Z fs* Z ~ t (X, K s) s~t (In order to avoid trouble it is convenient quences exact for all s, even s O. ) Next I remark that this c o n s t r u c t i o n Suppose Ms_l ) I have a map m: Y - - > and that I have two sequences ladder of maps, H*(Y) < H*(Y) < ~ inducing is natural.

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