#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. Thiéry                                 
        |         Author:  Simon King           
     Merged:                                                                    
        |   Dependencies:  #9138 #11911         
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Comment(by SimonKing):

 I think I can make subclassing work. I get
 {{{
 sage: class Test(Rings): pass
 ....:
 sage: Test()
 Category of test
 sage: Rings()
 Category of rings
 sage: ZZ in Rings()
 True
 sage: ZZ in Test()
 False
 sage: hash(Rings())
 15828944
 sage: hash(Test())
 76231760
 sage: %timeit Rings()
 625 loops, best of 3: 2.44 µs per loop
 sage: %timeit Test()
 625 loops, best of 3: 2.58 µs per loop
 }}}

 However, De Bruijn sequences would still not work as they are written now:
 They are no singletons.

 So, questions to you:

  * Do we want to allow for subclasses? If we don't, shall the attempt to
 create a subclass of a subclass of Category_singleton result in an error?
  * Should the attempt to do `Category_singleton()` result in an error?
 Namely, this would destroy ''all'' attempts to create a new singleton
 category in that session.
  * Do we want that `EnumeratedSets` is a singleton? Then de Bruijn
 sequences have to change.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900#comment:125>
Sage <http://www.sagemath.org>
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