#10963: More functorial constructions
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  stumpc5
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.1
      Component:  categories         |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Nicolas M. Thiéry  |    Reviewers:  Simon King, Frédéric
Report Upstream:  N/A                |  Chapoton
         Branch:                     |  Work issues:
  public/ticket/10963                |       Commit:
   Dependencies:  #11224, #8327,     |  bdefe0daeb7a4154a506f5ac69a064b6150f8de6
  #10193, #12895, #14516, #14722,    |     Stopgaps:
  #13589, #14471, #15069, #15094,    |
  #11688, #13394, #15150, #15506     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 The lazy class attribute's documentation states:
 {{{
             The base category class is often another category with axiom,
             therefore having a special ``__classget__`` method.  Storing
 the
             base category class and the axiom in a single tuple attribute
 --
             instead of two separate attributes -- has the advantage of not
             trigerring, for example, ``Semigroups.__classget__`` upon
             ``Monoids._base_category_class``.
 }}}
 I think this is actually not correct. If I am not mistaken,
 `Finite.__classget__` is involved when doing `Fields().Finite`, but not
 when calling `Fields()._base_category_class`.

 In any case, a remark should be added that the classget will set the
 `_base_category_class_and_axiom` attribute of `Fields().Finite()`.

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:276>
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