Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Planar and Dismantlable Lattices   It is shown that any finite, rank-connected, dismantlable lattice is
lexicographically shellable (hence Cohen-Macaulay). A ranked,
interval-connected lattice is shown to be rank-connected, but a rank-connected
lattice need not be interval-connected. An example of a planar, rank-connected
lattice that is not admissible is given.

7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc