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Results tagged with homological-algebra
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user 5963
(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.
7
votes
Accepted
A curious construction of a chain complex and its homology
I don't know that this qualifies as an answer, but I wanted to point out that your isomorphism arises as the boundary map in a short exact sequence of chain complexes. Note that
\[
\cdots\to \frac{B …
- 8,501
14
votes
Non-split extension of the rationals by the integers
Building on Ralph's answer a bit we can get uncountably many inequivalent examples as Mark Grant's comment on the original post suggested there should be.
Let $S,T$ be a partition of the primes into …
- 8,501