Purpose: This post is so I can record math-ish questions I have, which I want answers to, but don't merit their own post or pestering the community about directly. My expectation is they will mostly yield to a little research. If you have the answer or a relevant source, please feel free to mention.
- Fixed-point theorems: mapping from a particular kind of set, onto a particular function, has a fixed point on that function.
- Is there a procedure for enumerating sets that map onto a function in this way, given just the function?
- If this function were a utility function, could we look at the sets we generated and test whether they are morphic with some other space we are concerned with: value space? mind space?
Note : I will update this periodically, both to add new questions, mark answered questions, and to break out anything that turns particularly interesting.