#10963: Axioms and more functorial constructions
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  stumpc5
           Type:  enhancement        |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.2
      Component:  categories         |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Nicolas M. Thiéry  |    Reviewers:  Simon King, Frédéric
Report Upstream:  N/A                |  Chapoton
         Branch:                     |  Work issues:  merge with #15801
  public/ticket/10963-doc-           |  once things stabilize
  distributive                       |       Commit:
   Dependencies:  #11224, #8327,     |  268345f966b19589088e9b0dc84f183e4f45f545
  #10193, #12895, #14516, #14722,    |     Stopgaps:
  #13589, #14471, #15069, #15094,    |
  #11688, #13394, #15150, #15506,    |
  #15757, #15759, #15919             |
-------------------------------------+-------------------------------------

Comment (by nbruin):

 Replying to [comment:633 pbruin]:

 > - `sage.structure.CategoryObject` has a method `_refine_category_()`
 whose job is exactly to place the object into what we currently call a
 subcategory, but what I propose to call refinement.

 That's actually a rather bad example. This method mutates category
 objects, which are hashable and hence are supposed to be immutable. Worse:
 they tend to be `UniqueRepresentation` and hence should ''really'' be
 immutable, because unrelated code may hold a reference to the same object.
 Under those circumstances the only category change that has a remote
 change of not wreaking havoc is one to a subcategory in the mathematical
 sense of the word. So if your interpretation of the term "refinement" is
 adopted, this method would have to be renamed.

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:634>
Sage <http://www.sagemath.org>
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