For a suitable ring spectrum, such as E = HFp, the E2-term of the E-based Adams spectral sequence for a spectrum Y may be described in terms of its cohomology E∗Y, together with the action of the primary operations E∗E on it. We show how the higher terms of the spectral sequence can be similarly described in terms of the higher order truncated E-mapping algebra for Y – that is, truncations of the function spectra Fun(Y,M) for various E-modules M, equipped with the action of Fun(M,M′) on them.
Bibliographical noteFunding Information:
We would like to thank the referee for his or her detailed and pertinent comments. This research was supported by Israel Science Foundation grant 770/16.
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- cosimplicial resolution
- spectral sequence
ASJC Scopus subject areas
- Mathematics (miscellaneous)