A Coboundary Morphism for the Grothendieck Spectral Sequence

@article{Baraglia2014ACM,
  title={A Coboundary Morphism for the Grothendieck Spectral Sequence},
  author={David Baraglia},
  journal={Applied Categorical Structures},
  year={2014},
  volume={22},
  pages={269-288}
}
  • David Baraglia
  • Published 2014
  • Computer Science, Mathematics
  • Applied Categorical Structures
  • Given an abelian category $\mathcal{A}$ with enough injectives we show that a short exact sequence of chain complexes of objects in $\mathcal{A}$ gives rise to a short exact sequence of Cartan-Eilenberg resolutions. Using this we construct coboundary morphisms between Grothendieck spectral sequences associated to objects in a short exact sequence. We show that the coboundary preserves the filtrations associated with the spectral sequences and give an application of these result to filtrations… CONTINUE READING

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