#17364: Homset categories should be subcategories of the category of all homsets
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Reporter: nthiery | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.5
Component: categories | Resolution:
Keywords: | Merged in:
Authors: Nicolas M. Thiéry | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/nthiery/all_homsets_category_should_be_subcategories_of_the_category_of_all_homsets|
0925390c0d1eacabd75bb24c815d30124c8e8a2b
Dependencies: | Stopgaps:
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Comment (by pbruin):
A related question: in an Abelian category (or more generally an additive
category), all Hom sets have a structure of Abelian groups. Would the
current infrastructure allow inserting this fact somewhere in the code, so
that all Hom sets in an Abelian category are automatically in
`CommutativeAdditiveGroups`? I (very simple-mindedly) tried inserting
some variants of the following in `sage/categories/category_types.py`:
{{{
#!python
lazy_import('sage.categories.homsets', 'HomsetsCategory')
class AbelianCategory(Category):
...
class Homsets(HomsetsCategory):
def extra_super_categories(self):
return [CommutativeAdditiveGroups()]
}}}
but got a strange `ImportError: No module named Homsets`.
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Ticket URL: <http://trac.sagemath.org/ticket/17364#comment:11>
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