Adding a newtype EndoCategory to Control.Category (ticket #3362)

[roconnor at theorem.ca]

On Wed, 8 Jul 2009, Edward Kmett wrote:

> +1 in favor of generalizing Endo in Data.Monoid.
> 
> In my monoids library I have a Data.Monoid.Categorical that includes a 'GEndo' generalized endomorphism
> over an arbitrary category and I would love to be able to remove it.
> 
> -Edward Kmett

I was looking for this in your lib, but I didn't find it.

Anyhow, I'm also in favour of generalizing Endo.  I was being conservitive 
with my initial proposal.

Would we still have to pick a new name and then

type Endo a = NewEndoName (->) a

?

> In Data.Monoid there is
> 
>  newtype Endo a = Endo { appEndo :: a -> a }
> 
>  instance Monoid (Endo a) where
>        mempty = Endo id
>        Endo f `mappend` Endo g = Endo (f . g)
> 
> and (->) is an instance of Category, so perhaps we should generalize Endo.
> 
> The name EndoCategory seems wrong, as this won't be an instance of Category.
> Endomorphism?
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> 
>

-- 
Russell O'Connor                                      <http://r6.ca/>
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