Sheaves of categories and the notion of 1-affineness
Dennis Gaitsgory
TL;DR
This paper introduces the concept of 1-affineness for prestacks and proves several results demonstrating that certain prestacks possess this property.
Contribution
It formally defines 1-affineness for prestacks and establishes criteria and proofs for when prestacks are 1-affine, advancing the understanding of their structure.
Findings
Certain classes of prestacks are proven to be 1-affine
The paper establishes criteria for 1-affineness
Several key results confirm 1-affineness in specific cases
Abstract
We define the notion of 1-affineness for a prestack, and prove an array of results that establish 1-affineness of certain types of prestacks.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra