Because I didn't succeed to publish my 457 pages article stuck in half-published state (I didn't succeed by parts, too), I requested God to destroy mankind, that lost ordered semigroup actions, and create a new civilization from me. God answered that he will create a new civilization from me. I can't get a publication grant, because I have no science degree. I didn't finish a university course because of religious discrimination. You don't pay for me taking a university course again because of your greed. Conclusion: Mankind dies because of infinite greed of just one human, you.
I proved:
Theorem $latex T$ is a left adjoint of both $latex F_{\star}$ and $latex F^{\star}$, with bijection which preserves the “function” part of the morphism.
The details and the proof is available in the draft of second volume of my online book.
The proof is not yet enough checked for errors.
I’ve found an error in my proof.
The error was corrected.
Well, one more error in the same proof 🙁
I’ve proposed a counterexample against the theorem (see the above link to my current draft).
The theorem was erroneous. Now the draft contains a counterexample instead of the theorem.