#19113: LatticePoset: Return type category of product()
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       Reporter:  jmantysalo           |        Owner:
           Type:  defect               |       Status:  new
       Priority:  major                |    Milestone:  sage-6.9
      Component:  combinatorics        |   Resolution:
       Keywords:  poset, latticeposet  |    Merged in:
        Authors:                       |    Reviewers:
Report Upstream:  N/A                  |  Work issues:
         Branch:                       |       Commit:
   Dependencies:                       |     Stopgaps:
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Changes (by jmantysalo):

 * cc: nthiery (added)


Comment:

 Nicolas, you might be interested in this. `type(L2)` says
 `sage.combinat.posets.lattices.FiniteLatticePoset_with_category` but
 `L2.category()` gives Join of Category of finite ''posets'' and Category
 of finite enumerated sets and Category of facade sets, whereas the
 category of `L3` is Join of Category of finite ''lattice'' posets and
 Category of finite enumerated sets and Category of facade sets.

 I don't know if there is anything to do to prevent this kind of errors.
 The error appears with `L2.join_irreducibles()`, but `L2.join_matrix()`
 works.

--
Ticket URL: <http://trac.sagemath.org/ticket/19113#comment:2>
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