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Jan 6, 2017 at 14:32 comment added Rob Myers @ToddTrimble Right you are, seems that I somehow imagined the word 'atomic' was there.
Jan 6, 2017 at 14:25 comment added Todd Trimble No, it does have a left adjoint, which is $P^{op}: Set \to Set^{op}$.
Jan 6, 2017 at 14:24 history answered Rob Myers CC BY-SA 3.0