#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                
---------------------------+------------------------------------------------

Comment(by SimonKing):

 Replying to [comment:21 nthiery]:
 > 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.

 Ouch! I completely forgot about that other ticket!

 > 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.

 OK. Then I wonder what I should do here.

 The purpose of this ticket is to provide containers for the morphisms and
 objects of a category, and to provide an acceptable speed. It is ''not''
 the purpose to refactor hom categories - because that is to be done in
 #10668.

 Hence, for now, I suggest that I will restrict myself on getting the tests
 pass. I guess it will be possible in a couple of days, and may require to
 change `HomCategory.super_categories` in the way I suggested above. But
 apart from that, I will not aim at refactoring everything.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:22>
Sage <http://www.sagemath.org>
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