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- W4300411688 abstract "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<n+3) is a higher order Ext-group, which is determined by the track algebra of higher cohomology operations." @default.
- W4300411688 created "2022-10-03" @default.
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- W4300411688 date "2011-08-16" @default.
- W4300411688 modified "2023-10-16" @default.
- W4300411688 title "Higher order derived functors and the Adams spectral sequence" @default.
- W4300411688 doi "https://doi.org/10.48550/arxiv.1108.3376" @default.
- W4300411688 hasPublicationYear "2011" @default.
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