#8576: Categories for QQ, CC, RR and friends
---------------------------------+------------------------------------------
   Reporter:  nthiery            |       Owner:  AlexGhitza             
       Type:  enhancement        |      Status:  new                    
   Priority:  major              |   Milestone:  sage-5.0               
  Component:  algebra            |    Keywords:  categories, real fields
     Author:  Nicolas M. ThiƩry  |    Upstream:  N/A                    
   Reviewer:                     |      Merged:                         
Work_issues:                     |  
---------------------------------+------------------------------------------
 After this patch, QQ,ZZ,... inherit properly from categories:

 {{{
 sage: QQ.category()
 Category of fields
 sage: TestSuite(QQ).run()
 }}}

 This patch also documents the following effect discovered by TestSuite:
 {{{
     sage: CDF = ComplexDoubleField()
     sage: x = CDF.an_element()
     sage: x
     1.0*I
     sage: x*x, x**2, x*x == x**2
     (-1.0, -1.0 + 1.22460635382e-16*I, False)
 }}}
 This effect won't be touched by this patch. Should anyone consider this as
 a bug, please open a new ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8576>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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