#10667: Morphisms and Objects of Categories
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |          Owner:  nthiery                      
       Type:  enhancement  |         Status:  needs_work                   
   Priority:  major        |      Milestone:  sage-5.0                     
  Component:  categories   |       Keywords:  objects morphisms containment
Work_issues:  doctests     |       Upstream:  N/A                          
   Reviewer:               |         Author:  Simon King                   
     Merged:               |   Dependencies:  #9138, #11115                
---------------------------+------------------------------------------------

Comment(by nthiery):

 Replying to [comment:27 SimonKing]:
 > No, after all, I think that Sets() is correct.
 > and a comment in the doc string of `H.super_categegories`:
 > {{{
 >             """
 >             This declares that any homset `Hom(A, B)` for `A` and `B`
 >             in the category of objects is a set.
 >             This more or less assumes that the category is locally
 small.
 >             See http://en.wikipedia.org/wiki/Category_(mathematics)
 >
 >             EXAMPLES::
 >
 >                 sage: Objects().hom_category().super_categories()
 >                 [Category of sets]
 >             """
 > }}}

 ROTFL. I wrote that comment. So I guess I should agree with it :-)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10667#comment:32>
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