On the Composition Pairing of Adams Spectral Sequences

Moss, Robin

doi:10.1112/plms/s3-18.1.179

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Cited by 14 publications

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“…On the other hand it is known (see e.g. [21]) that the canonical maps or, which by 7.4 is the same, the composite Y → t−s B s → t−s−1 X s+2 → t−s−1 A s+2 .…”

Section: Proofmentioning

confidence: 99%

Secondary derived functors and the Adams spectral sequence

Baues

Jibladze²

2006

Topology

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Classical homological algebra takes place in additive categories. In homotopy theory such additive categories arise as homotopy categories of "additive groupoid enriched categories", in which a secondary analog of homological algebra can be performed. We introduce secondary chain complexes and secondary resolutions leading to the concept of secondary derived functors. As a main result we show that the E 3 -term of the Adams spectral sequence can be expressed as a secondary derived functor. This result can be used to compute the E 3 -term explicitly by an algorithm.

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“…On the other hand it is known (see e.g. [21]) that the canonical maps or, which by 7.4 is the same, the composite Y → t−s B s → t−s−1 X s+2 → t−s−1 A s+2 .…”

Section: Proofmentioning

confidence: 99%