#11900: Serious regression caused by #9138
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   Reporter:  SimonKing                                                         
        |          Owner:  tbd                  
       Type:  defect                                                            
        |         Status:  needs_work           
   Priority:  critical                                                          
        |      Milestone:  sage-4.8             
  Component:  performance                                                       
        |       Keywords:  categories regression
Work_issues:  Laurent series rings are fields. Add docs. Don't use is_ring and 
friends  |       Upstream:  N/A                  
   Reviewer:  Jeroen Demeyer, Nicolas M. ThiƩry                                 
        |         Author:  Simon King           
     Merged:                                                                    
        |   Dependencies:  #9138 #11911         
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Comment(by SimonKing):

 There is something wrong with Category_singleton: It cant' be subclassed.

 {{{
 sage: class Test(Rings):
 ....:     pass
 ....:
 sage: T = Test()
 sage: T
 Category of rings
 }}}

 In other words, making `__classcall__` a lazy class attribute won't work,
 since subclasses need a different `__classcall__`.

 Or do you see a mechanism that allows for subclassing?

 The problem occurs if one makes `EnumeratedSets` inherit from
 Category_singleton, since `DeBruijnSequences` subclass enumerated sets.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900#comment:121>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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