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Results tagged with homological-algebra
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user 402458
(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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Is there a "Kunneth isomorphism" for internal hom of chain complexes?
If $X^\bullet$ and $Y^\bullet$ are chain complexes over a field, we know from Kunneth theorem that
$$H^*((X\otimes Y)^\bullet)\cong H^*(X^\bullet)\otimes H^*(Y^\bullet) $$
I want to know if there is a …
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