Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on planar semimodular lattices. IX. $\mathcal{C}_1$-diagrams   A planar semimodular lattice $L$ is \emph{slim} if $\mathbf{M}_3$ is not a
sublattice of $L$. In a recent paper, G. Cz\'edli introduced a very powerful
diagram type for slim, planar, semimodular lattices. This short note proves the
existence of such diagrams.

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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: physics