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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
16
votes
Conjectures in Grothendieck's "Pursuing stacks"
I want to react to what I have just read, for the first time, about "Pursuing Stacks" at the nLab, and the words used there as well as in your question. … There certainly has been a lot of work in "categorical homotopy theory" since the writing of "Pursuing Stacks", but have Lurie, Rezk, Toën, Vezzosi (all cited by David Roberts) read "Pursuing Stacks" ( …