#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 SimonKing):
PS:
I forgot to add that the super categories of the hom category are fine as
well. We have:
{{{
sage: A = Algebras(ZZ)
sage: H = A.hom_category() #indirect doctest
sage: H.super_categories()
[Category of hom sets in Category of objects]
sage: H.an_object()
Set of Homomorphisms from Univariate Polynomial Ring in x over Integer
Ring to Univariate Polynomial Ring in x over Integer Ring
sage: H.an_object().category()
Category of hom sets in Category of algebras over Integer Ring
sage: H.an_object().category().super_categories()
[Category of hom sets in Category of objects]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:34>
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