Higher order derived functors and the Adams spectral sequence

Details Higher order derived functors and the Adams spectral sequence Higher order derived functors and the Adams spectral sequence

2011-08-17

arxiv.org/abs/1108.3376v1

Mathematics

Algebraic Topology

Scientific paper

Classical homological algebra considers chain complexes, resolutions, and derived functors in additive categories. We describe ``track algebras in dimension n'', which generalize additive categories, and we define higher order chain complexes, resolutions, and derived functors. We show that higher order resolutions exist in higher track categories, and that they determine higher order Ext-groups. In particular, the E_m-term of the Adams spectral sequence (m

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