Forgetful spectral sequences
Shôrô Araki · Osaka City University (Osaka City University) · 1979
We get a bigraded exact couple r ^l> i n the standard way.This will be called the forgetful spectral P,i sequence associated with A*'*(X, A).To make the meaning of bigrading of E*•* more precise, we remark that we are rather regarding as which is identified with the above setting through the isomorphism h p '«(S ho xX, S hO xA) « ψh p+ %X } A) ([1], (3.3)).The forgetful spectral sequence is natural with respect to (X, A) because of the naturality of the forgetful exact sequence.The forgetful spectral sequence associated with MR*'*(pt) was partially discussed by Landweber [4]and will be completely computed in a forth-coming paper of the author.Put D p ;« = ImpF" 1 : h p ~r+1 '%X y A) -> h pq (X, A)]for r^2 as usual.Then