#10667: Morphisms and Objects of Categories
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |       Owner:  nthiery                      
       Type:  enhancement  |      Status:  new                          
   Priority:  major        |   Milestone:                               
  Component:  categories   |    Keywords:  objects morphisms containment
     Author:               |    Upstream:  N/A                          
   Reviewer:               |      Merged:                               
Work_issues:               |  
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Comment(by nthiery):

 Hi Simon!

 Replying to [comment:1 SimonKing]:
 > If a category has not its own implementation of a hom-category,
 currently the join of the hom-categories of its super-categories is
 chosen. Hence, we have
 > {{{
 > sage: CommutativeRings().hom_category()
 > Category of hom sets in Category of rings
 > sage: WeylGroups().hom_category()
 > Category of hom sets in Category of sets
 > }}}
 >
 > I don't like that.
 > ...

 Yeah. As mentioned in the code and in the road map [1], HomCategory is
 just plain broken and needs a full refactoring. I just used the
 occasion to create a ticket with design suggestions: #10668.

 If you want to improve things in this direction, please jump right
 away on #10668; it might actually not be that much work, and every
 intermediate step would be just a work around and a waste of time.

 Thanks again for your continuous motion toward improving Sage in this
 area!

 Cheers,
                                 Nicolas

 [1] http://trac.sagemath.org/sage_trac/wiki/CategoriesRoadMap

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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