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Jun 30, 2010 at 10:24 comment added Peter LeFanu Lumsdaine By the way, I realise I was misusing terminology here. The (co-)reflection is used for the left (resp. right) adjoint to the inclusion CD. The resulting functor from C to itself is then an idempotent monad, i.e. a monad whose multiplication μ: FF^2 is an isomorphism.
Jun 29, 2010 at 10:04 history answered Peter LeFanu Lumsdaine CC BY-SA 2.5