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2020•Homology Homotopy and ApplicationsOpen access

Truncated derived functors and spectral sequences

Hans-Joachim Baues, David A. Blanc, Boris Chorny

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Functor, Spectral sequence, Mathematics, Derived functor, Pure mathematics, Sequence (biology), Functor category, Adjoint functors

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