Cohomology with coefficients in stacks of Picard categories

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

Cohomology of a topological space with coefficients in stacks of abelian
2-groups is considered. A 2-categorical analog of the theorem of Grothendieck
is proved, relating cohomology of the space with coefficients in a 2-stage
spectrum and the Ext groups of appropriate stacks.

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