Baraglia, D.2016-05-222016-05-222014Applied Categorical Structures, 2014; 22(1):269-2880927-28521572-9095http://hdl.handle.net/2440/98920Given an abelian category A with enough injectives we show that a short exact sequence of chain complexes of objects in 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.en© Springer Science+Business Media Dordrecht 2013Spectral sequence; Grothendieck; Leray; coboundary; filtrationJournal article003002947810.1007/s10485-013-9306-y0003310452000152-s2.0-84894295135186755Baraglia, D. [0000-0002-8450-1165]