Hi there,
I just created a poset using the new category. It seems to work except for
sage: TestSuite(poset).run()
[...]
AssertionError: Not implemented method: antichains
------------------------------------------------------------
The following tests failed: _test_not_implemented_methods
Do we really want to have antichain a mandatory abstract method ?
Also, the poset in question is the poset of Dyck words ordered by height of
the path. That is dw1 is smaller than dw2 if the path associated to dw1 is
always below the path associated to dw2. Do we want this to be the default
ordering for dyck words ? If not, I'm looking for a good name for this
poset. With my current patch it is accessible by
sage: poset = DyckWords().HeightPoset()
sage: poset.le(DyckWord([]), DyckWord([]))
True
sage: poset.le(DyckWord([1,0]), DyckWord([1,0]))
True
sage: poset.le(DyckWord([1,0,1,0]), DyckWord([1,1,0,0]))
True
sage: poset.le(DyckWord([1,1,0,0]), DyckWord([1,0,1,0]))
False
Any better suggestion is mostly welcome.
Cheers,
Florent
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