113.11 Lisse étale site of an algebraic stack
This has been introduced in Cohomology of Stacks, Section 103.14. An example to show that it is not functorial with respect to 1-morphisms of algebraic stacks is discussed in Examples, Section 110.59. Of course a lot more could be said about this, but it turns out to be very useful to prove things using the “big” étale site as much as possible.
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