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Results tagged with homological-algebra
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user 128502
(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.
3
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Accepted
Why does $p_*p^! A$ deserve to be called homology with coefficients in $A$?
One nice geometric way to view homology is a measurement of your space $X$ given by probing $X$ with other, nicer spaces, for instance, singular homology probes with simplices. One good reason to call …
- 1,949
7
votes
0
answers
147
views
How are symmetric functions related to Koszul duality?
Staying within the world of linear algebra, we have the following two "dualities" between exterior powers and symmetric powers.
The first is that of Kozsul duality, so these two graded algebras $\Lamb …
- 1,949