I am looking for a reference which treats the functoriality of the Grothendieck spectral sequence for elements of the derived category of an abelian category.

  • $\begingroup$ I am not sure that this can help, but did you check the reference section at the end of this page ncatlab.org/nlab/show/spectral+sequence#LeraySpectralSequence? Good luck! $\endgroup$ – user559615 Sep 13 '18 at 4:39
  • $\begingroup$ Thanks! I think one should look for a reference treating derived categories. I couldn't find it in Weibel and Gelfand-Manin. $\endgroup$ – user3267 Sep 13 '18 at 5:09
  • $\begingroup$ You would have to clarify what you mean by "functoriality" here? $\endgroup$ – Pedro Tamaroff Oct 4 '18 at 21:30

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