Truncated derived functors and spectral sequences

Baues, Hans-Joachim; Blanc, David; Chorny, Boris

doi:10.4310/HHA.2021.v23.n1.a10

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学術論文

Truncated derived functors and spectral sequences

MPS-Authors

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Baues, Hans-Joachim
Max Planck Institute for Mathematics, Max Planck Society;

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https://dx.doi.org/10.4310/HHA.2021.v23.n1.a10
(出版社版)

https://doi.org/10.48550/arXiv.1210.7437
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引用

Baues, H.-J., Blanc, D., & Chorny, B. (2021). Truncated derived functors and spectral sequences. Homology, Homotopy and Applications, 23(1), 159-189. doi:10.4310/HHA.2021.v23.n1.a10.

引用: https://hdl.handle.net/21.11116/0000-0007-B188-7

要旨

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