A Coboundary Morphism For The Grothendieck Spectral Sequence

Details A Coboundary Morphism For The Grothendieck Spectral Sequence A Coboundary Morphism For The Grothendieck Spectral Sequence

2011-12-29

arxiv.org/abs/1112.6295v1

Mathematics

Category Theory

18 pages

Scientific paper

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 in sheaf cohomology.

Affiliated with

Also associated with

No associations

Rating

A Coboundary Morphism For The Grothendieck Spectral Sequence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Coboundary Morphism For The Grothendieck Spectral Sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Coboundary Morphism For The Grothendieck Spectral Sequence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728462