#14793: Unique representation for homsets
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       Reporter:  nthiery      |         Owner:  nthiery  
           Type:  enhancement  |        Status:  new      
       Priority:  major        |     Milestone:  sage-5.12
      Component:  categories   |    Resolution:           
       Keywords:               |   Work issues:           
Report Upstream:  N/A          |     Reviewers:           
        Authors:  Simon King   |     Merged in:           
   Dependencies:               |      Stopgaps:           
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Comment (by SimonKing):

 Just a crazy idea (brain storm):

 We do not want `WithEqualityById` by default, because it makes no sense to
 have Homset be a unique parent, if domain and codomain are no unique
 parents.

 However, if both domain and codomain are unique parents, it *is* a good
 idea to use `WithEqualityById`.

 So, we could check whether both domain and codomain inherit from
 `UniqueRepresentation`. If they do, then they are unique parents, and then
 we could create a dynamic class out of `WithEqualityById` and the class of
 the homset, and overload the `__class__` of the homset.

 In that way, we would automatically have fast homset comparison and hash,
 for those parts of sage that use unique representation.

 I am running tests with an according patch now...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14793#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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