#10963: More functorial constructions
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   Reporter:  nthiery                                              |          
Owner:  stumpc5          
       Type:  enhancement                                          |         
Status:  needs_info       
   Priority:  major                                                |      
Milestone:                   
  Component:  categories                                           |       
Keywords:                   
Work_issues:  Find dependencies. Finite dimensional vector spaces  |       
Upstream:  N/A              
   Reviewer:                                                       |         
Author:  Nicolas M. ThiƩry
     Merged:                                                       |   
Dependencies:  #11224, #8327    
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Changes (by SimonKing):

  * work_issues:  Find dependencies => Find dependencies. Finite
                  dimensional vector spaces


Comment:

 Working with the combinat queue, I could do some first tests. What I find
 very strange is the fact that the category of vector spaces coincides with
 the category of finite-dimensional vector spaces:
 {{{
 sage: VectorSpaces(QQ).FiniteDimensional() is VectorSpaces(QQ)
 True
 }}}

 Is that really intended? I thought that the idea of this ticket is to
 create new categories dynamically. Hence, even though there previously was
 no specific implementation of the category of finite dimensional vector
 spaces, the construction `VectorSpaces(QQ).FiniteDimensional()` would
 automatically create one. Or am I misunderstanding something?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10963#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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