Parent should represent an object in a category that has a forgetful
functor to sets; CategoryObject an object in an arbitrary category.  I have
no objection to moving the generator and name code to Parent.
David
On Tue, May 5, 2015 at 4:41 AM, Jeroen Demeyer <jdeme...@cage.ugent.be>
wrote:

> Hello,
>
> what are the types CategoryObject and Parent supposed to represent? For
> example, I don't understand why generators and names are dealt with on the
> level of CategoryObject but constructing elements is dealt with on the
> level of Parent.
>
> In fact, in all of Sage, there is only a single class which is a
> CategoryObject but not a Parent:
>
> class SimplicialComplex(CategoryObject, GenericCellComplex)
>
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