#10667: Morphisms and Objects of Categories
---------------------------+------------------------------------------------
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:19 SimonKing]:
> Indeed the hom category of algebras is attributed as a subcategory of
the category of vectorspaces:
> {{{
> sage: Algebras(QQ).hom_category().is_subcategory(VectorSpaces(QQ))
> True
> }}}
>
> Isn't that plainly wrong?
Yes it is plain wrong. We had discussed this early this Spring, and we
even both have patches fixing this (using a different syntax) :-) See
#10668.
This property only holds for full subcategories, and last time we
discussed that we were looking for a syntax specifying when a category is
a full subcategory of another one.
Cheers,
Nicolas
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:21>
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