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arxiv: 1101.2918 · v2 · pith:JQPVYXTBnew · submitted 2011-01-14 · 🧮 math.AT · math.AG

Cohomology with coefficients in stacks of Picard categories

classification 🧮 math.AT math.AG
keywords coefficientscohomologystacksgroupsspaceabeliananalogappropriate
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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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