Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shellability of noncrossing partition lattices   We give a case-free proof that the lattice of noncrossing partitions
associated to any finite real reflection group is EL-shellable. Shellability of
these lattices was open for the groups of type $D_n$ and those of exceptional
type and rank at least three.

4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg