Homology, Homotopy and Applications
Volume 23 (2021)
Truncated derived functors and spectral sequences
Pages: 159 – 189
The $E_2$-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.
spectral sequence, relative derived functor, truncation, differential, (co)simplicial resolution, mapping algebra
2010 Mathematics Subject Classification
Primary 55T99. Secondary 18C30, 18G50, 55U35.
Hans-Joachim Baues passed away on May 8, 2020.
Received 20 October 2019
Accepted 11 May 2020
Published 2 September 2020