Cohomology with coefficients in stacks of Picard categories

Abstract

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.

References in corpus (3)

• Introduction to the language of stacks and gerbes
• On abelian 2-categories and derived 2-functors
• Cohomology theory in 2-categories