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Results tagged with homological-algebra
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user 78484
(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
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Can you detect homological dimensions from homology?
Suppose you are given a bounded chain complex $M$ over a commutative ring $R$.
Is there a clear relation between homological dimensions of $M$ and homological dimensions of its cohomologies?
For exa …
