#19686: Category of finite posets: lower_set() broken
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       Reporter:  jmantysalo     |        Owner:
           Type:  defect         |       Status:  new
       Priority:  minor          |    Milestone:  sage-6.10
      Component:  combinatorics  |   Resolution:
       Keywords:  poset          |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Comment (by nthiery):

 Good point: the alias `lower_set` -> `order_ideal` as implemented in the
 category `Posets.ParentMethods.lower_set` does not work. One probably
 needs to write it as
 a trivial method which calls `order_ideal`. The same issue applies to
 `upper_set`.

 By the way: the rationale for those aliases is that, in the long run, I am
 in favor of migrating from `order_ideal` to `lower_set`: the former is
 ambiguous with two distinct widely accepted meanings in the community.

 Note: this is about (the abstract classes for) posets ; not to the
 category infrastructure.

--
Ticket URL: <http://trac.sagemath.org/ticket/19686#comment:1>
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