I am trying to construct the poset of set partitions of {1,2,...,n} ordered
by refinement. I was working in SageCloud and followed the steps from here
(just ctrl-F 'set partitions' and you'll find it):
http://doc.sagemath.org/html/en/reference/combinat/sage/combinat/posets/posets.html#sage.combinat.posets.posets.Poset
Here is what I entered into Sage:
> n=4
> elms = SetPartitions(n)
> def fcn(A, B):
> if len(A) != len(B)+1:
> return False
> for a in A:
> if not any(set(a).issubset(b) for b in B):
> return False
> return True
> P = Poset((elms,fcn),cover_relations=True)
which is mostly just copy-and-pasted from the website, but Sage gives me
the error
TypeError: _element_constructor_() got an unexpected keyword argument
'cover_relations'
Any ideas would be much appreciated, and thanks in advance!
Sean
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