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arxiv: 0802.4096 · v2 · submitted 2008-02-27 · 🧮 math.AT · math.CT

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On local-to-global spectral sequences for the cohomology of diagrams

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classification 🧮 math.AT math.CT
keywords cohomologydiagramslocal-to-globalsequencesspectralalgebrascandidatescase
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The aim of this paper is to construct and examine three candidates for local-to-global spectral sequences for the cohomology of diagrams of algebras with directed indexing. In each case, the $E^2$ -terms can be viewed as a type of local cohomology relative to a map or an object in the diagram.

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