Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: M\"obius functions of directed restriction species and free operads, via
  the generalised Rota formula   We present some tools for providing situations where the generalised Rota
formula of arXiv:1801.07504 applies. As an example of this, we compute the
M\"obius function of the incidence algebra of any directed restriction species,
free operad, or more generally free monad on a finitary polynomial monad.

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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom