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I knew this at one point, and in fact it is embarassing that I have forgotten it. I am wondering what filtartion of the total space of a fibration we use to get the Serre SS. I feel very comfortable with the Serre SS, I am just essentially looking for a one line answer. I checked have Hatcher, Mosher and Tangora and Stricklands note on Spectral Sequences.

I think it has something to do with looking at cells where the bundle is trivializable..

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    I don't remember, but my bet is: filter the base by skeletons, and the total space by their preimages.2011-01-31

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Yup. I win the bet :)

See J. M. McCleary's User's guide to spectral sequences, Chapter 5.

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    I always forget about that book... PS have you ever looked at Browder's book about surgery?2011-01-31