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(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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Analogy of Gerstenhaber algebra
We know that the (endomorphism) operad structure on the cochain complex of an associative algebra induces a Gerstenhaber algebra structure on the cohomology. My query is: if a cochain complex has a (e …