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Apr 28, 2016 at 8:52 comment added goblin GONE I strongly object to the notion that a forgetful functor ought to be faithful, and I also strongly object to the notion that a forgetful functor ought to have a left adjoint...
Nov 23, 2009 at 16:39 history edited Theo Johnson-Freyd CC BY-SA 2.5
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Nov 23, 2009 at 1:47 comment added alekzander I don't think I've ever seen it defined as such, but it has surely been strongly hinted at.
Nov 21, 2009 at 21:24 comment added Jose Capco agreed.. so far, I haven't seen any reference that really rigorously defines what is category-therotically meant by a "forgetful functor".
Nov 21, 2009 at 17:50 history answered Theo Johnson-Freyd CC BY-SA 2.5