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9 votes

Does inclusion from n-stacks into (n+1)-stacks preserve the sheaf condition?

the constant sheaf Z is NOT a homotopy sheaf (even though it is an ordinary sheaf) This type of phrasing is ambiguous and is probably responsible for the confusion. In this sentence, Z is used to re …
Dmitri Pavlov's user avatar
19 votes

What are the occurrences of stacks outside algebraic geometry, differential geometry, and ge...

Another application of stacks is in synthetic differential geometry. Start with the opposite category of germ-determined finitely generated C^∞-rings and equip it with the appropriately defined Groth …
Dmitri Pavlov's user avatar
16 votes

What are the occurrences of stacks outside algebraic geometry, differential geometry, and ge...

Stacks are used in complex analysis, for example. See the papers by Finnur Lárusson, in particular, Excision for simplicial sheaves on the Stein site and Gromov's Oka principle, which shows that havi …
Dmitri Pavlov's user avatar