Secondary derived functors and the Adams spectral sequence

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dc.creatorBaues, Hans Joachim
dc.creatorJibladze, Mamuka
dc.date2004-07-02
dc.date2004-07-06
dc.date.accessioned2026-07-07T05:09:54Z
dc.date.available2026-07-07T05:09:54Z
dc.descriptionClassical 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.
dc.descriptionReference to math.AT/0407045 added
dc.identifierhttps://arxiv.org/abs/math/0407031
dc.identifierhttp://arxiv.org/abs/math/0407031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71760
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subjectK-Theory and Homology
dc.subject18G10, 55T15, 55S20 (Primary) 55U99, 18D05, 18G25, 18G40 (Secondary)
dc.titleSecondary derived functors and the Adams spectral sequence
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