The E2-term of the Adams spectral sequence may be identified with certain derived functors, and this also holds for a number of other spectral sequences. Our goal is to show how the higher terms of such spectral sequences are determined by truncations of relative derived functors, defined in terms of certain simplicial functors called mapping algebras.
Bibliographical noteFunding Information:
The research of the second and third authors was partially supported by Israel Science Foundation grants 770/16 and 1138/16, respectively. They regret that Hans Baues, a longtime friend and collaborator, passed away shortly after the final version of this paper was completed.
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- (co)simplicial resolution
- mapping algebra.
- relative derived functor
- spectral sequence
ASJC Scopus subject areas
- Mathematics (miscellaneous)