Australian Category Seminar

The 2-stack of stacks

Alexander Campbell·27 September 2017

The topic of this expository talk is a proof using factorisation systems (a la Cassidy–Hebert–Kelly) that sheaves over a site form a stack over that site. I will also show how to lift this proof to the next categorical level to prove that stacks over a site form a 2-stack over that site.

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