#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:  Cope with non-unique number fields  |       Upstream:  N/A        
                  
   Reviewer:                                      |         Author:  Simon King 
                  
     Merged:                                      |   Dependencies:  #9138, 
#11115, #11780        
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Comment(by SimonKing):

 Replying to [comment:57 nthiery]:
 > > But I think it would be a good idea to add a `X._reduce_from_cache()`
 method to `UniqueRepresentation`: It would remove any item of
 `X.__class__.__classcall__.cache` whose value is (equal to) X,
 >
 > +1. I am not sure about the name though. What about something like
 > _delete_from_cache instead?

 Sorry, I meant to write `_remove_from_cache`, not `_reduce_from_cache`.

 > > and then it would try `X._reduce_from_homset_cache()` as well (which
 > > would of course only be available for rings).
 >
 > UniqueRepresentation is meant to also be used by non Parents.

 And `_reduce_from_homset_cache` is only for those parents that happen to
 belong to the category of rings. That's why I write "try ... (which would
 ... only be available for rings)". It would not be available for non-
 rings, and in particular not for non-parents. So, no problem, the
 attribute error would be caught anyway.

 > Parent
 > could overload UniqueRepresentation's method to also call that for
 > homsets.

 No, it could not, because most parents are no `UniqueRepresentation`s.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:59>
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