#10963: Axioms and more functorial constructions
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  stumpc5
           Type:  enhancement        |       Status:  needs_review
       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:  To be merged
  public/ticket/10963-doc-           |  simultaneously with #15801
  distributive                       |       Commit:
   Dependencies:  #11224, #8327,     |  23222255c8fba75ac4449ad851428d2a86116a8e
  #10193, #12895, #14516, #14722,    |     Stopgaps:
  #13589, #14471, #15069, #15094,    |
  #11688, #13394, #15150, #15506,    |
  #15757, #15759, #15919             |
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Replying to [comment:668 darij]:
 > I'm done with my sightseeing tour through this branch.

 Great, thanks for all the hard work!

 > ... but I hope it was nevertheless of use.

 No question about that! The documentation was much improved thanks to
 your proofreading and suggestions.

 > My general impression is that the code introduced in this ticket is
 rather good, and it is definitely a worthy addition to Sage

 :-)

 > (once speed regressions are fixed)

 For the record: up to final positive review on #15801, they are.

 > Nicolas had good reasons to be annoyed by me raising this dust in a
 ticket not really related

 Oh well, on this ticket I resigned myself to «Boire le calice jusqu'à
 la lie». In any cases, it was not wasted time: you have been a driving
 force getting the documentation better. And at the end of the day, I
 am quite glad of the side effect of this ticket drawing attention to
 the category framework and getting more people well acquainted with
 it.

 > There's one final commit waiting for one of you,

 Reviewed and pushed! Ball on your side :-)

 > EDIT: *two* final commits. Seriously. I should learn counting...

 As Florent would say: ``there are three kinds of people in the world:
 those that can count and those that cannot``.

 > and one final question: is
 src/sage/categories/examples/hopf_algebras_with_basis.py still up-to-date?
 I'm not advocating for deletion, just asking if it is misleading in any
 way. While it shares much code with the now-removed group algebra examples
 and also is not in `GroupAlgebras`, it isn't necessarily wrong (noone said
 it had to be a GroupAlgebra anyway).

 Thanks for double checking on this: yes, it still fits its purpose: to
 illustrate how one can implement a Hopf algebra "from scratch".

 > Thank you once again, and here's hoping for a speedy merge...

 You bet :-)

 Cheers,
                                   Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:672>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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