#14541: Family over enumerated set has wrong category
--------------------------------------------------------------+-------------
       Reporter:  cnassau                                     |         Owner:  
nthiery  
           Type:  defect                                      |        Status:  
new      
       Priority:  minor                                       |     Milestone:  
sage-5.10
      Component:  categories                                  |    Resolution:  
         
       Keywords:  Family, Category of finite enumerated sets  |   Work issues:  
         
Report Upstream:  N/A                                         |     Reviewers:  
         
        Authors:                                              |     Merged in:  
         
   Dependencies:                                              |      Stopgaps:  
         
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Comment (by cnassau):

 I actually don't care about {{{Permutations()}}} a lot - I just picked
 those to come up with an easily reproducable problem. I should have given
 this example:

 {{{
 sage: X=CombinatorialFreeModule(ZZ,ZZ)
 sage: print X
 Free module generated by Integer Ring over Integer Ring
 sage: print X.basis().category()
 Category of enumerated sets
 sage: TX = tensor((X,))
 sage: print TX.basis().category()
 Category of finite enumerated sets
 }}}

 I believe I fixed this in #13979 for Sage 5.7.b4 (which was neither merged
 nor even considered).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14541#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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