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

Mathematics – Algebraic Topology

Scientific paper

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27 pages; incorporated corrections based on referee's report and added a few references

Scientific paper

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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