I am curious why set is a sheaf category. Where does the opposite category come into need? Is it because we consider first the case where the sheaf takes values in the category of sets.
2026-03-26 04:29:38.1774499378
Why is set a sheaf category?
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The category of sets is the category of sheaves on the one-point category in which only the nonempty sieve is covering. The contravariance condition is irrelevant here, since the one-point category is self-dual.