Spahn codensity monad (Rev #1, changes)

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It is not necessary for a functor to have an adjoint to canonically associate a monad to it. The codensity monad of a functor $F$ (if it exists) is the right Kan extension of $F$ along itself.

References

• Tom Leinster,
  • where do monads come from?, post to the nacfé, web
  • codensity and the ultrafilter monad, arXiv:1209.3606