#10667: Morphisms and Objects of Categories
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Reporter: SimonKing | Owner: nthiery
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.0
Component: categories | Keywords: objects morphisms containment
Work_issues: doctests | Upstream: N/A
Reviewer: | Author: Simon King
Merged: | Dependencies: #9138, #11115
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Comment(by nthiery):
Replying to [comment:23 SimonKing]:
> Another mathematical question:
>
> I thought that any hom category is a sub-category of the category of
sets.
>
> Currently, `HomCategory(Objects()).super_categories()` returns
`Objects()`, which is a bug anyway, because it does ''not'' return a list!
But should it return `[Sets()]`? The same answer for
`HomCategory(SetsWithPartialMaps()).super_categories()`?
Yes it should definitely be fixed to be a list. Now, I would tend to be
safe and stick to [Objects()], unless some abstract category expert is
absolutely convinced that [Sets()] is always correct (I doubt it).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:25>
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