Timeline for When is a chain complex induced up to quasiisomorphism
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Dec 11, 2019 at 17:47 | comment | added | Achim Krause | That's exactly what the machinery of faithfully flat descent does for you. It tells you precisely what additional structure you need to endow your $C_*$ with in order to find a $D_*$ as desired. I don't think you can turn this into a manageable list of obstructions in general, but if your complex is of finite length, this in principle turns into a finite amount of coherences. | |
Dec 10, 2019 at 22:16 | history | edited | Johannes Hahn | CC BY-SA 4.0 |
Fixed minor typos
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Dec 10, 2019 at 20:06 | history | asked | HenrikRüping | CC BY-SA 4.0 |