![]() G evaluated at X X X is isomorphic to the Grothendieck spectral sequence of the composition of. ![]() The examples I have in mind come from topology. Comparison of spectral sequences involving bifunctors. Roughly speaking, a spectral sequence is a system for keeping track of collections of exact sequences that have maps between them. Is there an example of a useful filtration where one really computes something nontrivial also in the higher sheets? partially supported by NSF and the Sloan Foundation. This process is experimental and the keywords may be updated as the learning algorithm improves. Spectral sequences are a powerful bookkeeping tool, used to handle large amounts of information. I'm looking for basic examples that show the usefulness of spectral sequences even in the simplest case of spectral sequence of a filtered complex.Īll I know are certain "extreme cases", where the spectral sequences collapses very early to yield the acyclicity of the given complex or some quasi-isomorphism to another easier complex (balancing tor, for example). Spectral Sequence Abelian Category Exact Functor These keywords were added by machine and not by the authors. We construct some spectral sequences as tools for computing commutative cohomology of commutative Lie algebras in characteristic 2. The spectralsequences package is a specialized tool built on top of PGF/TikZ for drawing spectral sequence charts.
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