![]() ![]() Using information about the universal abutment(s) of the underlying exactĬouple to extract information about one or more pages of the spectral sequence. We also contribute to 'reverse comparison' in a spectral sequence that is 'comparing' the spectral sequences via the morphism that is induced by a We develop such results in the context of Limit/colimit abutments even in cases where the spectral sequence is far fromĬonverging in any traditional sense. As applications we prove (1) the existence of a. We extend this construction to ext-groups and construct a similar spectral sequence for source regular extensions (with right module coefficients). Algebra 212 (2008), 2555-2569, Xu constructs a LHS-spectral sequence for target regular extensions of small categories. Although the existence of a spectral sequence may not. In this traditional view, the E1-term is singly graded, and the abutment is a bit arti cial. Xu, On the cohomology rings of small categories, J. A spectral sequence is an algebraic construct comparable with an exact sequence, but more complicated. The E-infinity extension theorems enable conclusions about the filtered We construct a heirarchy of spectral sequences for a filtered complex under a left-exact functor. Bockstein spectral sequence in a way that is more consistent with other spectral sequences. Download a PDF of the paper titled Exact couples and their spectral sequences, by George Peschke Download PDF Abstract: Given a bigraded exact couple of modules over some ring, we determine the ![]()
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