Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Vietoris monad and weak distributive laws   The Vietoris monad on the category of compact Hausdorff spaces is a
topological analogue of the power-set monad on the category of sets. Exploiting
Manes' characterisation of the compact Hausdorff spaces as algebras for the
ultrafilter monad on sets, we give precise form to the above analogy by
exhibiting the Vietoris monad as induced by a weak distributive law, in the
sense of B\"ohm, of the power-set monad over the ultrafilter monad.

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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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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: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cs