#12876: Fix element and parent classes of Hom categories to be abstract, and
simplify the Hom logic.
--------------------------------------------------------+-------------------
       Reporter:  nthiery                               |         Owner:  
nthiery                       
           Type:  enhancement                           |        Status:  
needs_review                  
       Priority:  major                                 |     Milestone:  
sage-5.1                      
      Component:  categories                            |    Resolution:        
                        
       Keywords:  categories, Hom                       |   Work issues:  Fix 
ring_refcount_dict problem
Report Upstream:  N/A                                   |     Reviewers:  Simon 
King                    
        Authors:  Nicolas M. ThiƩry                     |     Merged in:        
                        
   Dependencies:  #715, #11521, #12875, #12877, #12215  |      Stopgaps:        
                        
--------------------------------------------------------+-------------------

Comment (by nthiery):

 Replying to [comment:17 SimonKing]:
 > Do I understand correctly: If Hom receives None as category, then you
 determine the category as the meet of the categories of domain and
 codomain, and call Hom again. Did you test that the calling overhead does
 not matter?

 I did not test it. But it simplifies quite much the logic and the calling
 overhead occurs only for the first call, so I assumed it was negligible.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12876#comment:25>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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