My current project has an overarching goal and lots of sub-questions under that goal. The sub-questions are probably much more meaningful in the context of the overall goal, and in each other's context. However, they're not all that closely related as questions, so I'm strongly inclined to post them separately.
Should I post one uber-question and ask people to answer only the bits of it they're interested in, or should I post several separate questions and duplicate the context on each one?
If it helps, the question is: "Deduce the special adjoint functor theorem from the general adjoint functor theorem, in a motivated way", and the various sub-questions I've got so far are:
- "Why are we interested in co-separating sets?"
- "Under what conditions does the existence of a co-separating set imply the existence of a co-separating object?"
- "Why do we start thinking about subobjects and well-poweredness?" and the related "Why did we decide that both categories should be locally small, rather than just the one that the GAFT requires?"
- ultimately "How does the SAFT follow from the GAFT?"