Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The M\"obius function of permutations with an indecomposable lower bound   We show that the M\"obius function of an interval in a permutation poset
where the lower bound is sum (resp. skew) indecomposable depends solely on the
sum (resp. skew) indecomposable permutations contained in the upper bound, and
that this can simplify the calculation of the M\"obius sum. For increasing
oscillations, we give a recursion for the M\"obius sum which only involves
evaluating simple inequalities.

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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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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: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci