#16340: Model full subcategories
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       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.3
      Component:  categories         |   Resolution:
       Keywords:  full               |    Merged in:
  subcategories, homset              |    Reviewers:
        Authors:  Nicolas M. ThiƩry  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  2f2d09bec3a2e77021670d996abe2dd399fc63ec
  u/nthiery/categories/full-         |     Stopgaps:
  subcategories-16340                |
   Dependencies:                     |
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Comment (by nthiery):

 Replying to [comment:3 tscrim]:
 > Is it possible to have a proper subcategory (within Sage) which has the
 same number, but actually different set, of operators (i.e. is `len` a
 sufficient check or do we need to compare sorted lists)? I'm pretty sure
 this is mathematically wrong, but can someone confirm.

 In the current implementation, we are comparing the set of all super
 categories that define some structure. This set can only become larger for
 inclusion when going down the category hierarchy. So technically we are
 fine.

 And this implementation seems to correctly models the mathematics, right?

--
Ticket URL: <http://trac.sagemath.org/ticket/16340#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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