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[personal profile] timelets
I think I've figured it out for now:

P -> S
P -> T
P -> D
P -> C
P -> A
PxT -> O

maybe A -> P

upd. If P, S, T, D, C, A and O are categories then the arrows are functors, with P and A covered by adjoints. Therefore, relationships b/w them (functors) are natural transformations. Maybe that's the way to think about it.

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