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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.
8
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Cohomology ring of classifying space of spin group $\mathrm{BSpin}(n)$
Haibao Duan, The characteristic classes and Weyl invariants of Spinor groups, https://arxiv.org/abs/1810.03799
This recent paper gives a clean answer for your question. In particular, it provides th …