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Results tagged with homological-algebra
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user 144250
(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.
5
votes
Reference for homotopy colimit = total complex
I wrote a note for referential purposes. I hope this helps.
Arakawa, K. (2023). Homotopy Limits and Homotopy Colimits of Chain Complexes. arxiv.2310.00201
- 2,292
7
votes
Accepted
Reference for homotopy (co)limits of (co)chain complexes via totalization of double complexes
I wrote a note for referential purposes. I hope that this will be helpful.
Arakawa, K. (2023). Homotopy Limits and Homotopy Colimits of Chain Complexes. arxiv.2310.00201
- 2,292